kaiden and her brother both open savings accounts. each begin with a balance of zero dollars. for every two dollars that kaiden saves in her account, her brother saves five dollars. if kaiden saves 300 dollars how much did her brother save

Answers

Answer 1

The ratio is 2:5

Kaiden saves=300$Let her brother saves x

ATQ

[tex]\\ \sf\longmapsto \dfrac{300}{x}=\dfrac{2}{5}[/tex]

[tex]\\ \sf\longmapsto 2x=300(5)[/tex]

[tex]\\ \sf\longmapsto 2x=1500[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{1500}{2}[/tex]

[tex]\\ \sf\longmapsto x=750\$[/tex]


Related Questions

URGENT!!!!!!! HELP PLEASE!!!!!!

Answers

Answer:

[tex]x^\frac{2}{3}[/tex]

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex]       [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]

[tex]x^\frac{4}{9}[/tex]            [tex]x^\frac{2}{9}[/tex]

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

Which of the following statements is likely to be true?
a) The median personal income of California taxpayers would probably be near the mean.
b) For personal incomes in California, outliers in either tail would be equally likely.
c) The interquartile range offers a measure of income inequality among California residents.
d) For income, the sum of squared deviations about the mean is negative about half the time.

Answers

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

2) Consider the quadratic sequence 72, 100, 120, 132

2.1.1) Determine Tn the nth term of the quadratic.​

Answers

Answer:

Tn = -4n²+40n+36

Step-by-step explanation:

A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.

So, when n = 1, Tn = 72, which means T1 = a+b+c=72.

when n = 2, Tn = 100, which means T2= 4a+2b+c = 100

when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.

Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.

Hence, you a, b, and c in the Tn equation given above.

Therefore, Tn = -4n²+40n+36

da
A
Solve the equation 2x^2+3=0

Answers

Answer:

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Solving quadratics

Algebra II

Imaginary root i

√-1 = i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 3 on both sides:                        2x² = -3[Division Property of Equality] Divide 2 on both sides:                                  x² = -3/2[Equality Property] Square root both sides:                                                    x = ±√(-3/2)Simplify:                                                                                                             x = ±i(√6 / 2)

A quadrilateral is dilated by a scale factor of 2. It's original side measures are 7, 14, 21, and 28.

After dilation, the new side measures are ?

Answers

I believe the new side measures are 14, 28, 42, and 56


Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry

Answers

Answer:

The value is [tex]t = 2.705[/tex].

Step-by-step explanation:

In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.

99% confidence level:

We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.

The value is [tex]t = 2.705[/tex].

Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above

Answers

Answer:

i THINK its A. 4(n-3) -6n

Step-by-step explanation:

Have a wonderful day!!

Help me solve this please:) I’ll give you brainliest

Answers

Step-by-step explanation:

Given:

[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]

[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]

Then

[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]

[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]

[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]

Therefore,

[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]

[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]

To find the magnitude,

[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]

Help me please look at image I’ll give brainliest to first correct answers

Answers

Answer:

1

4

3

6

2

5

Step-by-step explanation:

Too lazy to explain 6 factorings on mobile. Trust me if it pleases you.

The table shows the height of water in a pool as it is
being filled.
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
O The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
O The height of the water will be 2 inches when the pool
is filled.
6
8
10

Answers

Answer:

Step-by-step explanation:

If the slope is 2, which it is, it was found in this manner:

[tex]m=\frac{12-8}{4-2}\frac{inches}{min} =\frac{4}{2}\frac{inches}{min} =2 \frac{inches}{min}[/tex]

Because the slope is positive, it is interpreted as the height of the water increasing at a constant rate of 2 inches per minute.

Find a33 of the arithmetic sequence given a1=17 and d=6.

Answers

Answer:

209

Step-by-step explanation:

Given the following:

[tex]a_{1} = 17\\d=6[/tex]

The nth term of an arithmetic sequence is expressed as:

[tex]a +(n-1)d[/tex]

a is the first term = 17

d is the common difference =6

Get the 33rd term:

[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]

Hence the 33rd term is 209

In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain

Answers

Answer:

[tex]E.G=\$2[/tex]

Step-by-step explanation:

Sample size 52 card

Pay for J or Q [tex]=\$17[/tex]

Pay for King or Ace [tex]=\$5[/tex]

Pay for others [tex]=-\$2[/tex]

Therefore

Probability of drawing J or Q

[tex]P(J&Q)=\frac{8}{52}[/tex]

Probability or drawing King or Ace

[tex]P(K or A)=\frac{8}{52}[/tex]

Probability or drawing Other cards

[tex]P(O)=\frac{36}{52}[/tex]

Therefore

Expected Gain is mathematically given as

[tex]E.G=\sum_xP(x)[/tex]

[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]

[tex]E.G=\$2[/tex]

Which expression is a perfect cube? -8x^21y^8 -64x^64y^64 -125x^9y^20 -216x^9y^18 I need the answer quick please.

Answers

Answer:

Step-by-step explanation:

The expression is too close together. Can you space them out?

Answer:

d) -216x^9y^18

Step-by-step explanation:

HELPPP PLEASE. So I have figured out the first one however I cannot seem to figure out the rest as my answers are wrong. How do solve this problem? Please help!

Answers

Answer:

it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65

At the end of a​ year, the gross debt of a country stood at about ​$15 trillion. Express this amount in dollars per​ person, assuming that the population of the country is about 309 million.
The gross debt is about ​$nothing per person.

Answers

Answer:

The country's debt is $ 48,543.68 per person.

Step-by-step explanation:

Given that at the end of a year, the gross debt of a country stood at about $ 15 trillion, to determine this amount in dollars per person, assuming that the population of the country is about 309 million, the following calculation must be done:

15 trillion = 15,000,000,000,000

15,000,000,000,000 / 309,000,000 = X

15,000,000 / 309 = X

48,543.68 = X

Therefore, the country's debt is $ 48,543.68 per person.

what is area of square

Answers

Step-by-step explanation:

side² is the formula to find area of square.

mark as brainliest

the domain of f/g consists of numbers x for which g(x)........0 that are in the domain of both.....and......

Answers

Answer:

the domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x)

Step-by-step explanation:

The denominator of a rational function can't be zero (see the first row in the attached table)

The required fill in the blanks is ≠ , f(x) and g(x).

It is required to fill in the blanks.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The domain of f/g consists of numbers x for which g(x) IS NOT EQUAL 0 that are in the domain of both f(x) and g(x).

The domain of (f/g) (x) consists of all x-values that are in the domain of both f and g, where g(x) ≠ 0. Both f and g have domain all real numbers.

Therefore, the required fill in the blanks is ≠ , f(x) and g(x).

Learn more about  function here:

brainly.com/question/24240489

#SPJ2

Pleaseee hellllpppp!!!!

Answers

Answer:

I hope option D is write

I hope you help

Answer:

B. 32°

Step-by-step explanation:

The reference angle for 212°

=212°-180°

=32°

Hope it is helpful to you

evaluate 5! + 2!

122

5,040

60

Answers

Answer: 122


Step 1: Find value of 5!

To solve this equation, we will need to add 5! and 2!. To start off, let’s find the value of 5!. Keep in mind that in math, (!) means to multiply a number by the decreasing positive numbers. Let’s do so now, and solve it step by step.

5!= 1×2×3×4×5
5!= 2×3×4×5
5!= 6×4×5
5!= 24×5
5!= 120

Step 2: Find value of 2!

Now that we know the value of 5!, we need to solve for 2!. We can do so by following the same method that we used for 5!, only changing the numbers. Let’s do this now.

2!= 1×2
2!= 2

Step 3: Solve for final answer

We now know the value of 5! and 2!. Since the question asks us to find the sum of these numbers, we will use the answers from step 1 and 2 to find our final result. Let’s add these together now.

5!= 120
2!= 2

5!+ 2!= 122


This is your answer. Hope this helps! Comment below for more questions.

Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,
specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.

Answers

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers

Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.

Your friend is studying for an exam. Based on your knowledge of your friend, you believe that if they study for the exam, there is an 80% probability they will be able to pass it. On the other hand, if they do not study, there is only a 30% probability they will be able to pass. Your friend is not a particularly industrious student, and you initially believe there is only a 60% probability your friend will study for the exam. A few days later your friend happily proclaims that they passed the exam. Thus, find the probability that they did in fact study for the test with this knowledge in hand.

Answers

Answer:

0.8 = 80% probability that they did in fact study for the test.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passed the exam.

Event B: Studied.

Probability of passing the test:

80% of 60%(Studied).

30% of 100 - 60 = 40%(did not study). So

[tex]P(A) = 0.8*0.6 + 0.3*0.4 = 0.6[/tex]

Probability of passing the test studying:

80% of 60%, so:

[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]

Find the probability that they did in fact study for the test with this knowledge in hand.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.48}{0.6} = 0.8[/tex]

0.8 = 80% probability that they did in fact study for the test.

For the function f(x) = 2x +3, evaluate f(3).

Answers

Answer:

9

Step-by-step explanation:

f(3) = 2(3) + 3

= 9

Answer:

[tex]{ \tt{f(x) = 2x + 3}}[/tex]

f(3) means x = 3, substitute for x as 3 :

[tex]{ \tt{f(3) = 2(3) + 3}} \\ = 6 + 3 \\ = 9[/tex]

solve the following equations;-

x - 9 /√x + 3 =1

Answers

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

[tex]\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1 [/tex]

Cross multiply ,

[tex]\sf\implies x - 9 =\sqrt{ x +3} [/tex]

Squaring both sides ,

[tex]\sf\implies (x - 9)^2 = x + 3 [/tex]

Simplify the whole square ,

[tex]\sf\implies x^2+9^2-2.9.x = x +3 \\ [/tex]

[tex]\sf\implies x^2+81 - 18x = x -3[/tex]

Add 3 and subtract x on both sides ,

[tex]\sf\implies x^2 -18x-x +81-3=0[/tex]

Simplify ,

[tex]\sf\implies x^2 -19x +78=0 [/tex]

Split the middle term of the quadratic equation,

[tex]\sf\implies x^2-13x-6x+78=0 [/tex]

Take out common ,

[tex]\sf\implies x( x -13)-6(x-13)=0[/tex]

Take out ( x -13 ) as common ,

[tex]\sf\implies ( x -13)(x-6)=0 [/tex]

Equate both factors to 0 ,

[tex]\sf\implies \boxed{\pink{\sf x = 13,6}}[/tex]

Hence the value of x is 13 or 6 .

please help me please help me​

Answers

Answer:

largest 4 digit number × largest 3 digit number

=9999 × 999

(10000-1)×(1000-1) = (a-b)(c-b)= ac-ab-bc+b^2

10000000-10000-1000+1 = 9989001

What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?

Answers

Answer:

$785.17

Step-by-step explanation:

Given data

PV is the loan amount

PMT is the monthly payment

i is the interest rate per month in decimal form (interest rate percentage divided by 12)

n is the number of months (term of the loan in months)

PMT =$700

n = 10 years

i = 0.89%

The formula for the loan amount is

Harrison Water Sports has three retail outlets: Seattle, Portland, and Phoenix. The Seattle store does 50 percent of the total sales in a year, while the Portland store does 35 percent of the total sales. Further analysis indicates that of the sales in Seattle, 20 percent are in boat accessories. The percentage of boat accessories at the Portland store is 30 and the percentage at the Phoenix store is 25. Overall, the probability that a sale by Harrison Water Sports will be for a boat accessory is

Answers

Answer:

The correct answer is "0.43".

Step-by-step explanation:

According to the question,

The probability of boat accessories sale,

= 0.3

The probability of sale in Portland store,

= 0.35

now,

The probability that the decision was signed somewhere at Portland shop will be:

= [tex]\frac{P(boat \ acessories \ sale\times P(sale \ in \ Portland \ store)}{P(boat \ accessories \ sale)}[/tex]

By substituting the values, we get

= [tex]\frac{ 0.3\times 0.35}{( 0.2\times 0.5 + 0.3\times 0.35 + 0.25\times 0.15)}[/tex]

= [tex]\frac{0.105}{0.1+0.105+0.0375}[/tex]

= [tex]0.43[/tex]

(6 + 8) (3 - 2) = help plz

Answers

Answer:

Step-by-step explanation:

(6+8i)(3-2i)

use FOIL

18 - 12i + 24i - (16[tex]i^{2}[/tex])

18 + 12i - (-16)

18 + 12i + 16

34 + 12i

According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?

Answers

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

What is the following product? ^3Vx^2•^4VX^3

Answers

Answer:

= 3v^2 x^27

Step-by-step explanation:

Apply exponent rule:   aa = a^2

VV = V^2

=3V^2x^24x^3

Simplify x^24 x^3 :  x^27

= 3v^2 x^27

I need help pleaseee

Answers

Answer:

C

Step-by-step explanation:

3.5x4.1x0.5 = 7.175 7.175x7.2=51.66

Answer:

51.66 In³

Step-by-step explanation:

This is a right angle triangular prism ....Hence ...

V=BA×H

BA= ½×4.1 in×3.5 In

BA= 7.175 In²

H= 7.2 In

V=7.175in² × 7.2In

V= 51.66 In³

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