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3 years ago

10

A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea

rest tenth of a year, would it take for the value of the car to be \$900$900?

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

15.1

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Carlos and Mike work part time as salespeople for an electronics store. Carlos earns $7.25 per hour plus a $10 bonus. Mike earns

galina1969 [7]

Carlos and Mike earn same amount for 10 hours of part time work

<em><u>Solution:</u></em>

Let "x" be the number of hours worked by Carlos and mike

Given that,

<em><u>Carlos earns $7.25 per hour plus a $10 bonus</u></em>

Thus, total amount earned by Carlos for "x" hours is given by:

total earned = 7.25(number of hours) + $ 10

total earned = 7.25x + 10 ----- eqn 1

<em><u>Mike earns $7.75 per hour plus a $5 bonus</u></em>

Thus, total amount earned by Mike for "x" hours is given by:

total earned = 7.75(number of hours) + $ 5

total earned = 7.75x + 5 ------- eqn 2

To find number of hours, they earn same amount, equate eqn 1 and eqn 2

7.25x + 10 = 7.75x + 5

7.75x - 7.25x = 10 - 5

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x = 10

Thus for 10 hours, they earn the same amount

3 0

3 years ago

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

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4 years ago

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