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Leno4ka [110]
3 years ago
13

Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100

down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of interest? A. 67% B. 65% C. 25% D. 85%
Mathematics
1 answer:
marishachu [46]3 years ago
4 0
Cost of the lawnmower bought by Sarah = $320
Amount of down payment made by Sarah = $100
Amount paid by Sarah in 12 months = (12 * 25) dollars
                                                          = 300 dollars
Total amount paid by Sarah = (300 + 100) dollars
                                             = 400 dollars
Excess amount paid as interest by Sarah = (400 - 320) dollars
                                                                   = 80 dollars
Actual yearly rate of interest paid by Sarah = (80/320) * 100 percent
                                                                     = 25 percent
So 25% yearly interest was paid by Sarah. The correct option is option "C".
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Caleb made $105 mowing lawns and walking dogs, charging the rates shown. If he mowed half as many lawns as dogs walked, how many
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Question is Incomplete;Complete question is given below;

Caleb made $105 mowing lawns and walking dogs, charging the rates shown. If he mowed half as many lawns as dogs walked, how many lawns did he mow and how many dogs did he walk? $7.50 for walking dogs and $20 for mowing lawns

Answer:

Caleb mowed 3 lawns and walked 10 dogs.

Step-by-step explanation:

Let the number of dogs he walked be 'd'.

Let number of lawn he mowed be 'l'.

Given:

If he mowed half as many lawns as dogs walked

So we can say that;

l=\frac{1}{2}d=0.5d \ \ \ \ equation\ 1

Now given:

Cost for mowing each lawn = $20

Cost for walking each dog = $7.50

Total amount made = $105

Now we can say that;

Total amount made is equal to Cost for mowing each lawn multiplied by number of lawn he mowed and Cost walking each dog multiplied by number of lawn he mowed.

framing in equation form we get;

20l+7.5d=105 \ \ \ \ \ equation \ 2

Substituting equation 1 in equation 2 we get;

20(0.5d)+7.5d=105

Applying distributive property we get;

10d+7.5d=105\\\\17.5d=105

Dividing both side by 17.5 we get;

\frac{17.5d}{17.5}=\frac{105}{17.5}\\\\d= 6

Substituting the value of 'd' in equation 1 we get;

l=0.5d=0.5\times6=3

Hence Caleb mowed 3 lawns and walked 10 dogs.

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