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7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem, we ahve that:

$T = 38200, P = 7500, I = 0.075$

So

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

5 0

3 years ago

Read 2 more answers

What is the place value of 6 in 685

statuscvo [17]

Answer:

600 because it is in the hundreds place

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the

mr Goodwill [35]

9514 1404 393

Answer:

area: 524 cm²
perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

4 0

3 years ago

How do you write a sentence about comparing the values of the nines in the number 199,204

Margarita [4]

Answer:

Step-by-step explanation:

The first 9 stands for 90,000 and the second for 9 000 so the first 9 is worth

90,000 / 9,000 equals 10 times the second one.

8 0

3 years ago

Find the slope (m) and the y-intercept (b) of the given line on the graph.

rusak2 [61]

Answer:

Slope: 1; Y-int: (0,2)

Step-by-step explanation:

The slope is rise over run, the equation is y two minus y one divided by x two minus x one.

(3-2) / (1-0) = 1

The y-int. is where the line crosses the y-axis, or the x value is 0.

Hope this helps :)

8 0

3 years ago