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2 years ago

8

Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal

ance be after 10 years if the interest is compounded 2 times each year?

1 answer:

Anastaziya [24]2 years ago

4 0

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 500, r = 0.03, n = 2, t = 10$

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?

$A = P(1 + \frac{r}{n})^{nt}$

$A = 500(1 + \frac{0.03}{2})^{2*10} = 673.43$

Jimmy's account balance will be $673.43 after 10 years.

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A closed box has a square base with side length feet and height feet. Given that the volume of the box is cubic feet, express th

Paha777 [63]

Complete Question:

A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only.

Answer:

$A = \frac{156}{L} + 2L^2$

Step-by-step explanation:

Given

$Volume = 39ft^3$

Required

Express the surface area in terms of L

Because the box has a square base:

The volume is:

$Volume = Base\ Area * Height$

Where

$Base\ Area = L * L$

So, we have:

$Volume = L * L * H$

Substitute 39 for Volume

$39= L * L * H$

$39= L^2 * H$

Make H the subject

$H = \frac{39}{L^2}$

The surface area (A) of a box with square base is:

$A = 2(LH + LH + L^2)$

$A = 2(2LH + L^2)$

Open bracket

$A = 4LH + 2L^2$

Substitute $\frac{39}{L^2}$ for H

$A = 4L * \frac{39}{L^2} + 2L^2$

$A = \frac{4L *39}{L^2} + 2L^2$

$A = \frac{4*39}{L} + 2L^2$

$A = \frac{156}{L} + 2L^2$

4 0

2 years ago

Please help im finding this very difficult

bezimeni [28]

First calculate price per gram (J) of both jars.

Large jar: $J_L=\dfrac{440\mathrm{g}}{1.54\mathrm{£}}\approx 285.71 \mathrm{\frac{g}{£}}$

Small jar: $J_S=\dfrac{340\mathrm{g}}{1.26\mathrm{£}}\approx 269.84\mathrm{\frac{g}{£}}$

Because $J_S < J_L$ we can conclude $J_S$ has best value.

Hope this helps.

8 0

3 years ago

What is the slope of the line in the graph?<br> A. -4/3<br> B. -3/4<br> C. 3/4<br> D. 4/3

Naily [24]

To find the slope you have to use this formula:

$\frac{y2-y1}{x2-x1}$

First chose any 2 random points from the graph, im gonna chose (0,1) and (-4,4). It doesn't matter which one is the x1 or x2, what matter is they have to be in the same order, you can't have (-4,4) as a (x1,y2), That's wrong.

$\frac{(1)-(4)}{4-0}$

= -3/4

5 0

3 years ago

What is the measure of the missing angle?

Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c$

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

$B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19$

8 0

2 years ago

Read 2 more answers

30 points for whoever helps George Washington...please

faust18 [17]

Answer:

A

Step-by-step explanation:

A is equal to 5d-5

I just went through all eh choices

It can’t be b or c becuase when distributed, it automatically is -5d+25 or vice versa with a different sign so their out

D is impossible becuase you can’t jsut flip a subtraction problem

And A is possible because adding a negative basically means subtracting so if flipped The signs have to change

8 0

2 years ago