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3 years ago

6

A sports store near Big Bear Lake is having a 20% off sale on all water skis. What will the sale price be for water skis which r

egularly sell for $248?
(Need the work to be shown)

1 answer:

kvasek [131]3 years ago

8 0

248 x 0.8 = $198.40
answer $198.40

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If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

4 years ago

Alejandro put down a deposit of $75.00 on a graduation ring, and he then began making weekly payments of $12.50 until the ring w

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Answer:

12 weekly payments

Step-by-step explanation:

Here, we want to get the number of weeks in which he made payment for the ring

We start by subtracting the deposit,

That would be;

225-75 = 150

Now, we proceed to divide what ie left by the weekly payment to get the number of weeks

That would be;

150/12.5 = 12

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3 years ago

Read 2 more answers

Ludmilka [50]

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

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Write the absolute value for each number given in the first column.

Lapatulllka [165]

Absolute value is the distance of a number on the number line from 0.

10 : 10

-1.1 : 1.1

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Answer:

Infinitely many solutions

Step-by-step explanation

The answer would be D.

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