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3 years ago

13

A person standing 20 feet from a streetlight casts a shadow as shown. How many times taller is the streetlight than the person?

Assume the triangles are similar.

1 answer:

alexandr402 [8]3 years ago

3 0

Attached solution and steps using proportions.

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55% of what number is 1100? Which of the following proportions could be used to

Olenka [21]

Answer:

1100

55100=1100 x 55100

=1100x

Step-by-step explanation:

Hope it is helpful...

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3 years ago

Are there equations with no horizontal asymptote

MrRa [10]

Answer:

hbgjhbhv,h,gvh,v

Step-by-step explanation:

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3 years ago

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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:

Amiraneli [1.4K]

Answer:

See below

Step-by-step explanation:

<u>Given:</u>

Investment P = $20000
Time t = 7 years
Interest rate r = 5.5% = 0.055

a. <u>compounded semiannually, n = 2</u>

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88$

b. <u>compounded quarterly, n = 4</u>

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30$

c. <u>compounded monthly, n = 12</u>

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44$

d. <u>compounded continuously</u>

$A = Pe^{rt}=20000*e^{0.055*7}=29392.29$

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3 years ago

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#15: A shipment to a warehouse consists of 2,000 watchbands. The

Ad libitum [116K]

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

6 0

3 years ago

Find the total in the account with the following facts monthly contributions =$180 employer matching 25% interest rate 4.99% yea

algol13

Answer:

The amount that will be in the account after 38 years is $ 36811,05

Step-by-step explanation:

a)

For resolved this exercise used the next equation

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

Dates

i=- 2.05% 12 = 0,1708% = 0.0017

The interest is divided for 12 because is annual and the formula is mensual

t = 15yearsx12 = 180 months

R = 220$

R(1-(1 + i)-) Ap =

220(1-(1 + 0.0017)-180) Ap = 0.0017

162,04 Ap=0.0017

Ap = 95321,855

The amount that will be in the account after 15 years is $ 95,321.85

b)

R(1-(1 + i)--) Ap = ... (1)

Ap = Amount in account

R = Paid monthly

i = Monthly interest rate

t = Months for paid

i=- 4,99% -= 0,415% = 0.0041

The interest is divided for 12 because is annual and the formula is mensual

t = 38yearsx12 = 456 months

R = 180$

R(1-(1 + i)-) Ap =

Ap = 180(1-(1 + 0.0041) -456 0.0041

Ap = 36811,055

The amount that will be in the account after 38 years is $ 36811,05

4 0

3 years ago