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lesantik [10]
2 years ago
15

Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the form

ula A = Pert, where A is the ending amount, P is the principal (initial amount), r is the interest rate, and t is time.
A.20%
B.5%
C.28%
D.3%
Mathematics
1 answer:
Rina8888 [55]2 years ago
7 0

Answer:

Step-by-step explanation: C. 28%

A = Pe^{rt}

1649 = 100 \cdot e^{10r}\\16.49 = e^{10r}\\\ln{16.49} = 10r\\r = \frac{\ln{16.49}}{10} = 0.28\\

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How much cardboard is needed to make the tissue box above? Square inches 8 3 3
Katen [24]

The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

<h3>What is the surface area of cuboid?</h3>

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

S = 2(a\times b + b\times c + c\times a)

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= 2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Learn more about surface area of cuboid here:

brainly.com/question/13522634

#SPJ1

5 0
3 years ago
Solve for b -233=6(3+7b)+1 a. -10 b. -3 c. -6 d. -13
Svet_ta [14]

Answer: b = -6

Step-by-step explanation:

-233 = 6(3+7b) +1

-233 = 18 + 42b +1

-233 - 18 - 1 = 42b

-252 = 42b

-252/42 = b

b = -6

4 0
3 years ago
Read 2 more answers
242.8333333333333 rounded to the nearest hundredth
balandron [24]
The answer would be 242.8
It will not go up because in order to round up it must be 5 or above.
8 0
4 years ago
Read 2 more answers
Please help me on this homework assignment, I'm not sure I got this right.
Burka [1]

Answer:

1,875$ in intrest

Step-by-step explanation:

10000x.0375x5=1875

7 0
3 years ago
The two lines y=2x+8 and y=2x-12 intersect at x-axis at P nad Q. work out the distance PQ
Vikentia [17]

ANSWER

|PQ|=10

EXPLANATION

The first line is

y=2x+8

We put y=0 to find the x-intercept.

0=2x+8

-2x=8

x=-4

(-4,0) are the coordinates of P.

The second equation is

y=2x-12

To find the x-intercept, we put x=0 into the formula:

0=2x-12

-2x=-12

x=6

The coordinates of Q are (0,6).

The distance between these two points.

|PQ|=|6--4|=10

6 0
3 years ago
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