Humberto deposited $50 in a new account at his bank. The bank pays 5.3% annual simple interest on this account. Humberto makes no additional deposits or withdrawals. How much money will be in his account at the end of 5.5 years?

Answers

Answer 1

Answer:

$58.415

Step-by-step explanation:

Initial value: 50 dollars

Independent variable: 5.3%

Dependent variable: Y

This equation can be written in slope intercept form:

[tex]y=mx+b[/tex]

[tex]y= 1.53x+50[/tex]

x= the number of years

[tex]y= 1.53(5.5)+50[/tex]

[tex]y=8.415+ 50[/tex]

[tex]y= 58.415[/tex]


Related Questions

Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn?

Answers

Answer:

$54 : 27 bags

Step-by-step explanation:

its to much to explain

i got my math wrong

Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?

Answers

Step-by-step explanation:

An=A1. R raised to the power n-1

write an expression for the perimeter of the rectangle given 3x+4 and 2x-3​

Answers

Answer:

2(3x+4) + 2(2x-3)

Step-by-step explanation:

this is because to be able to find the perimeter you use the formula 2(l) + 2(w)

The expression for the perimeter of the rectangle is 10x + 2.

What is the expression for the perimeter of the rectangle?

Given the sides of the rectangle:

Length = 3x+4

Width = 2x-3

To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.

The expression for the perimeter (P) is calculated as follows:

Perimeter = 2(Length + Width)

Plug these values into the perimeter formula:

P = 2(3x+4 + 2x-3)

Now, let's simplify the expression:

P = 2(5x + 1)

Finally, we can further simplify it:

P = 10x + 2

Therefore, the perimeter is 10x + 2.

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Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans​

Answers

Answer:

7

Step-by-step explanation:

It worked my number was 7.

7*2=14

14*2=24

24+7=35

35*2=70

70/10=7

7!!!

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.

What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

1.8 meters
3.7 meters
15.2 meters
18.8 meters

Answers

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

How to calculate the length of an arc

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F

Answers

Answer:

T

Step-by-step explanation:

Just did it

Find two numbers, if their sum is 49 and their difference is 1/2 .

Answers

Answer:

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Step-by-step explanation:

Let the two numbers be x and y

So we have:

[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]

using the elimination method, add the two equations together:

[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]

solve for x:

[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]

substitute our value for x back into the first equation we made:

[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]

therefore,

[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

someone plz help it looks easy but I dont understand

Answers

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

Simplify the radicals in the given expression:

8^3√a^4b^3c^2-14ab^3√ac^2

8ab√ac^2-14ab^3ac^2

8a^2ba^3√b-14abc^3a

8ab^3ac^2-14ab^3√ac^2

8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"

Answers

Answer: it’s option c

Step-by-step explanation:

Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².

What is radical?

The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.

Given radical

8∛(a⁴b³c²)-14b∛(ac^(2))

Rewriting a⁴b³c² as (ab)³ ac²

8∛((ab)³ac²)-14b∛(ac²)

8ab∛ac² - 14b∛ac²

-6ab∛ac².

Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).

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What symbols are used to indicated statements?

Answers

Answer: => means “implies” or “if and then”

p,q,r are statements

Step-by-step explanation:

Write the function f(x) that is equal to the derivative of the series, please check my work...

Answers

Step-by-step explanation:

Yes, that is correct.  Well done!

The volume of a cylinder is 40 Feet cubed. Which expression represents the volume of a cone with the same base and height as the cylinder?

Answers

Answer:

40/3 feet³

Step-by-step explanation:

Volume of cylinder = 3 × volume of cone with same base and height

40 = 3 × Volume of cone

Volume of cone = 40/3 feet³

Answer:

I think da answer is C on edge

Step-by-step explanation:

What is the rate of change

Answers

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

[tex]\frac{0 - 0}{-2 - 2}[/tex]

Solve.

0 - 0 = 0

-2 - 2 = -4

[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0

A bag contains 20 brown, 16 orange, 4 navy, and 13 purple marbles. A marble is drawn at random. What is the theoretical probability of drawing a brown marble?

Answers

20/53 chance or 0.38 probability.

Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_

Answers

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer:

x = - 3.5

Step-by-step explanation:

There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

Answers

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Total number of balls is:

[tex]2+4=6[/tex]

The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]

[tex]P=\dfrac{2}{9}[/tex]

Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Learn more:

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Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?

Answers

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Solve for x2= 9/49. Show your step-by-step.

Answers

Answer:

x = [tex]\frac{3}{7}[/tex], x = [tex]\frac{-3}{7}[/tex]

Step-by-step explanation:

The first step is to get rid of the square on the x, and to get rid of it, you square root both sides of the equation, like so:

[tex]x^{2} = \frac{9}{49}[/tex]

[tex]\sqrt{x^2} = \sqrt{\frac{9}{49} }[/tex]

A perfect square is when a number has two factors that are identical to one another. In this case, 9 and 49 are both perfect squares, meaning we can break them down:

The square root of 9 is 3. (3 · 3 = 9)

The square root of 49 is 7. (7 · 7 = 49)

x = [tex]\frac{3}{7}[/tex]

The answer is also x = [tex]\frac{-3}{7}[/tex] because a negative · a negative = a positive.

an isosceles trapezoid is a trapezoid with congruent legs. true or false?

Answers

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

What is geometry?

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.


Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

Learn more about geometry here:
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What is the value of 4 to the power of 3 divided by 2 to the power of 3

Answers

Answer:

8 is the answer

Step-by-step explanation:

4 to the power of 3 is basically 4x4x4 which equals 64, and 2 to the power of 3 is 2x2x2 which is 8, and 64 divided by 8 is 8

Answer:

8

Step-by-step explanation:

4³ ÷ 2³

Indices

= (2²)³ ÷ 2³

= 2 ^ 6 ÷ 2³

= 2 ^ (6-3)

=2³ = 8

Please help!

The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.

Match the equation for how to solve for the side length of a square to its description.

Answers

Answer:

s = [tex]\sqrt{81\\[/tex] in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

[tex] s = \sqrt{81} \: in[/tex]

Step-by-step explanation:

[tex]\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in[/tex]


Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30

Answers

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3

Answers

Answer:

A. 144 units³

Step-by-step explanation:

Volume of prism= 1/2×height× base × length

Height= 3

Base= 8

Length= 12

Lets put all of these together

1/2×3 × 8 × 12

1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³

what’s a negative about plus a positive

Answers

Answer:

Step-by-step explanation:

when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3

Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x

Answers

Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

what is the 7th term in the sequence 48,40, 32, 24,

Answers

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:

Opinion A: Improving the healthcare system is more important than improving the education system.

Opinion B: Improving the education system is more important than improving the healthcare system.

Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."

The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."

Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)

Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)

Answers

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!


The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?

Answers

Answer: 0.75

Step-by-step explanation: just had the question on usa tp

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