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Darya [45]
3 years ago
5

Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 12

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

P(t)=50(1.99)^{t/12}

Step-by-step explanation:

The problem can be modeled by using the compound growth formula.

Given, Initial number P_0 of people who Nicholas sent the chain letter to=50

The growth rate, r =99%=0.99

Period of Growth,k =12 Weeks

P(t)=P_0(1+r)^{t/k}

Therefore, in any week (t) after Nicholas initially sent the mail, the number of people who receive the email is modeled by the function:

P(t)=50(1+0.99)^{t/12}\\P(t)=50(1.99)^{t/12}

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8 0
2 years ago
If h(x) = 5x – 3 and j(x) = -2x, solve h[j(2)]
Yuki888 [10]

Answer:

-23

Step-by-step explanation:

j(2) = -2(2)

j(2) = -4

h(-4) = 5(-4) -3

h(-4) =-23

5 0
3 years ago
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-ye
notsponge [240]

Answer:

The difference in the amount of interest she would have to pay for the two loans is $1,400

Step-by-step explanation:

The amount of loan Holly is taking out, P = $10,000

The choices available for the loan are;

1) Loan duration, T₁ = 4-year

Interest rate, R₁ = 4%

2) Loan duration, T₂ = 6-year

Interest rate, R₂ = 5%

For the first choice, we have;

The simple interest, I, given by the formula;

I_1 = \dfrac{P \times  R_1 \times T_1 }{100} = \dfrac{10,000 \times  4 \times 4 }{100} = \$ 1,600

For the second choice, we have;

The simple interest, I, given by the formula;

I_2 = \dfrac{P \times  R_2 \times T_2 }{100} = \dfrac{10,000 \times  5 \times 6 }{100} = \$ 3,000

The difference, D, in the amount of interest she would have to pay for the two loans is therefore;

D = I₂ - I₁ = $3,000 - $1,600 = $1,400

The difference in the amount of interest she would have to pay for the two loans = D = $1,400.

7 0
3 years ago
Read 2 more answers
Hhhheeeeellllllpppp no 13 and 14​
laila [671]

Answer:

13. B. 24 cm²

14. y = 5⅝ (none of the options is correct)

Step-by-step explanation:

13. The figure is a trapezoid

Area of the trapezoid = ½(a + b)h

Where,

a = 3 cm

b = 5 cm

h = 6 cm

Area = ½(3 + 5)6

= ½(8)6

= 4*6

= 24 cm²

14. Area of the triangle = ½*b*h

The area is given to be 45 cm²

base (b) = 16 cm

height (h) = y

Plug in the values and solve for y

45 = ½*16*y

45 = 8y

Divide both sides by 8

45/8 = 8y/8

45/8 = y

5⅝ = y

y = 5⅝ (none of the options is correct)

5 0
3 years ago
Mc Donald’s sells about 150 hamburgers every 3 seconds. How many seconds will it take to sell 6,400 hamburgers?
Strike441 [17]
150/3=50
6400/50=128
So 128 seconds
3 0
3 years ago
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