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3 years ago

Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Answer:

51.9 miles

Step-by-step explanation:

distance = speed * time

d = 59.3 * 7/8

d = 51.8875 miles

rounded

51.9 miles

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Answer:

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4 years ago

Read 2 more answers

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

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3 years ago

A+ B = 30. A:B what is equivalent to 2:3

Paraphin [41]

2/3 and 12/18 are equivalent fractions, and 12+18 = 30 so the answer is 12:18

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