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2 years ago

5,10,20... write an explicit and recursive equ

Mathematics

1 answer:

Lesechka [4]2 years ago

8 0

Answer:

if you are wanting one based on the numbers 5, 10, 20, the next numbers would be 40, 80, 160 and so one, all you do is multiply the number by 2

Step-by-step explanation:

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Compound interest In Exercise,$3000 is invested in an account at interest rate r,compounded continuously.Find the time required

xenn [34]

Answer:

(a) 8.15

(b) 12.92

Step-by-step explanation:

Given: P = $3000, r = 0.085

$A = Pe^{rt}$

Where

A is the Amount

P is the Principal

r is the rate

t is the time

(a) For the amount to double, A = 2 × P

A = 2 × $3000

A = $6000

$6000 = 3000e^{0.085t}$

$\frac{6000}{3000} = e^{0.085t}$

$2 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}2 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln2 = 0.085t$

$t = \frac{ln2}{0.085}$

$t = \frac{0.693}{0.085}$

t = 8.15

(b) For the amount to double, A = 3 × P

A = 3 × $3000

A = $9000

$9000 = 3000e^{0.085t}$

$\frac{9000}{3000} = e^{0.085t}$

$3 = e^{0.085t}$

Take $log_{e}$ of both sides

$log_{e}3 = log_{e}e^{0.085t}$

But $log_{e}e = 1$

∴ $ln3 = 0.085t$

$t = \frac{ln3}{0.085}$

$t = \frac{1.0986}{0.085}$

t = 12.92

5 0

3 years ago

4x − 8y = –20<br> 4x − 7y = –15

Alja [10]

Y = 5
x = 5
good luckkkkkkk

8 0

2 years ago

PLEASE HELP LIKE RN, thank you so much

Komok [63]

Answer:

Facts.

Step-by-step explanation:

4 0

3 years ago

Which statement is true

vova2212 [387]

Answer: the system has no solution

Step-by-step explanation: for a solution to occur the lines have to cross

5 0

3 years ago

Big will's ice cream cone contains 16 grams of saturated fat. This is 80% of his total daily allowance. What big will's total da

Ahat [919]

Answer:

20 grams

Step-by-step explanation:

Let x be the total allowance of fat

16 grams is 80% of his total allowance

x * 80% = 16

Change percent to a decimal

x *.8 = 16

Divide each side by .9

.8x/.8 = 16/.8

x = 20

8 0

3 years ago