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3 years ago

An 18% discount on a watch saved a shopper $72. Find the price of the watch before the discount

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

1% = $4

$4 × 100 = $400

$4 × 18 = $72

Your answer is $400

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Math help questions <br>

Evgen [1.6K]

After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.

After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.

And so on. After t years, the investment would have a value of $\$800 \times 1.07^t$ .

We want the find the number of years n such that

$\$856 \times 1.07^n = \$1400$

Solve for n :

$856 \times 1.07 ^n = 1400$

$1.07^n = \dfrac74$

$\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)$

$n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)$

$n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}$

4 0

2 years ago

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What is done wrong in this question please answer it ASAP!!! i need to submit in 30 min

Shkiper50 [21]

Answer:

dividing by a fraction is multiplying by the reciprocal.

This example swaps the left hand in stead of the right hand.

Step-by-step explanation:

So the correct approach would have been:

$6 \times \frac32$

$\frac{18}{2} = 9$

6 0

3 years ago

Using the formula A = 6s2, solve when s = 2?

rosijanka [135]

Answer:

When s=2, A=24

Step-by-step explanation:

We are given the formula $A = 6s^2$

We need to solve and find value of A , when s=2

So, putting value of s in the given formula we can find value of A

The formula given is:

$A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24$

So, by putting s= 2, We get A=24

6 0

3 years ago

The length of a rectangle is 5 more than twice the width. the perimeter is 130 inches. what is te area

Brut [27]

The length of a rectangle:
L = 2 W + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²

3 0

3 years ago

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HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of th

Anarel [89]

Answer:

130 in^2 net area

136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)

Step-by-step explanation:

top=1.5x4=6

middle=1.5x4=6

bottom=3x4=12

sides=(2x3x8)-(2x1.5x2)=42

front & back=2x8x4=64

6+6+12+42+64=130

6 0

3 years ago

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