Suppose that $7000 is placed in a savings account at an annual rate of 5.6%, compounded semi-annually. Assuming that no withdrawals are made, how long will it take for the account to grow to $8036?

Answers

Answer 1

Answer:

2.5 years

Step-by-step explanation:

Amount= $8036

Principal= $7000

Rate =5.6%

t= ?

n= 2

A= P(1 + r/n)^nt

8036= 7000(1 + 0.028)^2t

1.148= (1 + 0.028)^2t

log(1.148) = log (1 + 0.028)^2t

0.05994= 2t × 0.01199

t= 2.5 years

Answer 2

It will take t = 2.5 years for the account to grow to $8036.

Given that,

Total saving amount = $7000

Annual rate = 5.6% = 0.056

We have to determine,

Assuming that no withdrawals are made, how long will it take for the account to grow to $8036.

According to the question,

Amount = $8036

Principal = $7000

Rate = 0.056

n = 2

To find the value of time t calculation done in single unit,

[tex]A = P (1+ \frac{r}{n} )^{nt} \\\\8036 = 7000 (1+\frac{0.056}{2})^{2t} \\\\\frac{8036}{7000} = (1+0.028})^{2t} \\\\1.148 = (1+0.028)^{2t} \\\\[/tex]

Taking log on both sides,

[tex]log(1.148) = log(1+0.028)^{2} \\\\0.0599 = 2t\times0.0119\\\\\frac{0.599}{0.022} = t\\\\t = 2.5 years[/tex]

Hence, It will take t = 2.5 years for the account to grow to $8036.

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Related Questions

Please answer quick.

Answers

Answer:

e

Step-by-step explanation:

Jon's last paycheck was $342.58. If he worked
35.5 hours, how much does he get paid per hour?

I need the answer to this question how much does he get paid per hour?

Answers

$9.65 per hour jendndnej es

in general the value measured by the vertical axis is called the _____ variable​

Answers

Answer:

Dependent

Step-by-step explanation:

in general the value measured by the vertical axis is called the DEPENDENT variable.

I think the answer is dependent

Which statement correctly compares -9 and 2?

Answers

Answer:

-9<2 is a correct comparison

20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?

Answers

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

BRANDI WANTS TO CALCULATE THE AVERAGE SPEED
OF A CAR THAT TRAVELED 275 MILES IN THREE
HOURS. WHICH FORMULA BELOW IS CORRECT?
A. S = 3 x 275
B. S = 3/275
C. S = 275/3
D. S = 3-275
MISTER SCIENCE

Answers

Answer:

C. S = 275/3

Step-by-step explanation:

The formula for speed is S = d/t

The d is = 275

The t is = 3

So S = 275/3

Hope this helps ya!!

( Mathematical sentences can describe real-world problems. Note the following inequalities and real-world problems. Write either the inequality or real-world problem that corresponds to the given information. Do not simplify any inequalities.
(a) Real-World Problem: Toy cars cost c dollars. Stan had $3. He purchased 3 toy cars with his money. Frank had $6. He purchased 8 toy cars with his money. After their purchases, Stan had more money than Frank

Inequality:

(b) Inequality: 3x + 2 < 2x + 10

Real-World Problem: ​

Answers

Answer:

Mathematical sentences can describe real-world problems. Note the following inequalities and real-world problems. Write either the inequality or real-world problem that corresponds to the given information. Do not simplify any inequalities.

(a) Real-World Problem: Toy cars cost c dollars. Stan had $3. He purchased 3 toy cars with his money. Frank had $6. He purchased 8 toy cars with his money. After their purchases, Stan had more money than Frank

Inequality:

(b) Inequality: 3x + 2 < 2x + 10

The first 5 terms of a sequence are shown below:
3, -2, -7, -12, -17
Which expression can be used to find the nth term?

Answers

Answer:

c: -7

Step-by-step explanation:

Write an equation of the line passing through point P(3,8) that is parallel to the line y
= 1/5 (x+4)

Answers

Answer:

y=1/5(x+37)

Step-by-step explanation:

y=1/5x+4/5

Plug in the (3,8)

8=1/5(3)+b

8=3/5+b

7 2/5=b

y=1/5(x+37)

The equation of the line is y = 1/5(x + 37)

Since our new line is parallel to the line y = 1/5(x + 4), and 1/5 is the gradient of the line y = 1/5(x + 4), the gradient of the new line is 1/5.

Using the equation of a line in slope-point form,  [tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex] where (x₁, y₁) = (3, 8) and m = 1/5

Substituting the values of the variables into the equation, we have

[tex]\frac{y - y_{1} }{x - x_{1} } = m[/tex]

[tex]\frac{y - 8 }{x - 3 } = \frac{1}{5}[/tex]

Cross-multiplying. we have

5(y - 8) = x - 3

Expanding the bracket, we have

5y - 40 = x - 3

5y = x - 3 + 40

5y = x + 37

y = 1/5(x + 37)

So, the equation of the line is y = 1/5(x + 37)

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31.8 dived 0.58 answer

Answers

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?

Answers

62 stamps
explanation: 30.38/.49=62

Find the measure of angle A.​

Answers

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

this is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 10 points as well.

Answers

Answer:

"as many Christmas songs as you can below my fav will get brainliest you will get 10 points as well."

Step-by-step explanation:

I typed it.

Answer: um all I want for Christmas and jingle bells.

Step-by-step explanation: make me brainest

Goodd Luck!
llllllllllaa

Answers

the positive integers are: +2, +11, +8, 28, and 13
the negative integers are: -7, -9, -11, and -3
the 0 should go in the circle between the two charts

Answer:

Step-by-step explanation:

Positive integers = 2 5 8 11 13 28

Negative integers = - 3 - 7 - 9 - 11

The integer that's troubling her the most is 0 because zero is defined as neither positive nor negative

2x + 6y - 3z + 5 - 11(4x - 8y) + 6z - 1

Answers

Answer:

-42x+94y+3z-4

Step-by-step explanation:

2x+6y-3z+5-44x+88y+6z-1

The simplified answer is -42x+94y+3z+4. Hope this helps! :)

What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.

Answers

Answer:

25.92

Step-by-step explanation:

Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.

In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.

Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.

Answers

Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

30 is 2/3 of what number

Answers

Answer:45

Step-by-step explanation:

Key Word:of

30*2/3 = 45

Answer:

Step-by-step explanation:

let the number be x.

then,

2/3 of x = 30

=> 2/3x = 30

=> x = 30 × 3/2

=> x = 45

so, the required number is 45 .

hope it helps...!!!

How do I solve this?

Answers

Answer:

The answer is 7.5

Step-by-step explanation:

3x+18=9x−27

3x+18−9x=9x−27−9x

−6x+18=−27

−6x+18−18=−27−18

−6x=−45

−6x /−6 = −45 /−6

x =  15 /2  which is equal to 7.5 as a decimal.  

I need help again please​

Answers

Answer:

I think it's the third one.

Answer:

C

Step-by-step explanation:

the shadow of a 100 m long vertical pole is of 20 m then what will be the angle of inclination round the answer to the nearest tenth of a degree​

Answers

Answer:54.23 m

Step-by-step explanation:I’m not sure this is even close to being right but I tried

Which is smaller, one-ninth of 54 or one-fourth of 36?

Answers

Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

Please mark brainliest

A market research company wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 7.3 energy drinks per week and found the standard deviation to be 0.7. What is the minimum sample size required to create the specified confidence interval

Answers

Answer: 126 samples

Step-by-step explanation:

Given that :

Standard deviation (σ) = 0.7

Mean (m) = 7.3

Error (E) = 0.08

α = 80%

The sample size n can be obtained using the relation :

n = [(Zcrit * standard deviation) / Error]^2

The Zcritical at 80% = 1.282

Hence,

n = ((1.282 * 0.7) / 0.08)^2

n = (0.8974 / 0.08)^2

n = 11.2175^2

n = 125.83230625

n = 126

Betsy has to sell carnival tickets worth at least $60. The price of a child ticket is $5, and the price of an adult ticket is $8. Let x be the number of child tickets sold and y be the number of adult tickets sold. which of the following graphs best models this situation.

A) 5x+8y
[tex] \geqslant [/tex]
60
B) 5x+8y
[tex] \leqslant [/tex]
60
C) 5x+8y
[tex] < [/tex]
60
D) 5x+8y
[tex] > [/tex]
60​

Answers

Answer:

A) 5x + 8y [tex]\geq[/tex] 60

Step-by-step explanation:

"At least" translates to the inequality symbol [tex]\geq[/tex] or "greater than or equal to."

Nineteen less than four times a number is greater than forty-seven.
Please i will give away all my points to the person that answers this in number form thanks

Answers

Answer: pretty sure it's the number you multiply by 4 is 17

Step-by-step explanation:

when you multiply 4 and 16 you'll get 64 then you subtract 19 and get 45 which is less than 47 so by reasoning if you were to multiply 4 and 17 you'll get 68 then you subtract 19 from 68 and you should get 49 ( you didn't include how much greater than 47 the number should be but the safest bet would be to use 17)

please help me with this please ​

Answers

First one is A
Second one is C
Third one is B
Trust me

write an equation of the line that passes through 4,-2 and is parallel to y=-4x+1

Answers

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

1 1/3 divided by 3/4

Answers

Answer:

1 7/9

Step-by-step explanation:

Could i have branliest please and a heart

Step-by-step explanation:

11/ 36

hope it helps!

.....

What is the slope of the graph of
4x + 3y = 15?

Answers

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

Will mark the brainliest

Answers

The answer is c because it’s the opposite of the regular picture
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