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3 years ago

If $10000 is invested at a rate of 2.3% compounded continuously, find the balance in the account after 15 years.

1 answer:

6 0

$10000 compounded continuously at a rate of 2.3% for 15 years will yield a final amount of $14119.9

$A=10000* e^{(0.023*15)}$

 $A=10000(2.718281828459045)^{(0.345)}$

 $A=14119.9$

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If 10 tickets to the movies cost $55, how much would 4 tickets cost?

11111nata11111 [884]

Answer:

$55 \div 10 = \: 5.5 \: dollars \\ 5.5 \times 4 = 22.0 \: dollars$

5 0

3 years ago

Please help me! Need answer quick!

aksik [14]

Let h = height of triangle

h^2 + 12^2 = 15^2

h^2 + 144 = 225

h^2 = 225 - 144

h^2 = 81

sqrt{h^2} = sqrt{81}

h = 9 cm

For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.

1. First find the lateral area.

LA = perimeter of triangle • height

LA = ph

p = 15 + 15 + 24

p = 30 + 24

p = 54 cm

LA = (54)(9)

LA = 486 cm^2

2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.

A = (1/2)bh

A = (1/2)(24)(9)

A = 108 cm^2

A = 2•108 cm^2

A = 216 cm^2 = our B in the surface area formula.

SA = B + LA

SA = 216 cm^2 + 486 cm^2

SA = 702 cm^2

The amount of cardboard needed is 702 cm^2.

6 0

3 years ago

A biologist is comparing the growth of a population of flies per week to the number of flies a bullfrog will consume per week. S

Lubov Fominskaja [6]

Realize that since 2x and 3x - 1 are equal to each other, they are also equal to y. This means that we can craft two equations, y = 2x and y = 3x - 1.

When you want to solve a systems of equations via a graph, you need to plot both equations on a graph and determine the x- and y-value of where the lines intersect. In this case, we would plot both y = 2x and y = 3x - 1. These lines intersect at the point (1, 2).

Since we are trying to find the day the bullfrog will be able to eat the entire population, or x, we are going to use the x-value of our point as our answer. Thus, our answer is 1 day.

3 0

3 years ago

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0

3 years ago

Read 2 more answers

Line JM intersects line GK at point N. Which statements are true about the figure? Check all that apply.

ki77a [65]

See attached image

First, we must know this: Complementary angles are two angles whose sum is equal to 90°, while supplementary angles are two angles whose sum is equal to 180°. That been said, the only statement which is true is the second statement, MNL is complementary to KNL

Reasons why others are False
GNJ is supplementary to JNK, not complementary
MNG is supplementary to GNJ, not complementary
LNJ (not KNJ) is supplementary to MNL
GNM is equal to JNK, not supplementary

8 0

3 years ago

Read 2 more answers