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Fund Raising. Suppose you have signed up for a bike-a-thon to raise money for charity. One person is sponsoring you at a rate of

soldi70 [24.7K]

Answer:

The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

After 30 miles all the sponsors donate the same amount.

Step-by-step explanation:

Given:

Amount of donated by each of the other sponsors = $15

Amount donating by one person per mile = $0.5

We need to write the system of equation to model the donation d for m miles biked.

Also We need to find the number of miles all sponsors donate the same amount.

Solution:

Let the amount donated be denoted by 'd'.

Let number of miles biked be denoted by 'm'.

Now we know that;

Amount of donated by each of the other sponsors = $15

so we can say that;

$d=15$

Also We know that;

Amount donating by one person per mile = $0.5

So we can say that;

$d=0.5m$

Hence The system of equation is $\left \{ {{d=15} \atop {d=0.5m}} \right.$ .

Now to find the number of miles when all the sponsors donate the same amount we will make both the equation equal we get;

$0.5m=15$

Dividing both side by 0.5 we get;

$\frac{0.5m}{0.5}=\frac{15}{0.5}\\\\m=30\ miles$

Hence After 30 miles all the sponsors donate the same amount.

8 0

3 years ago

I need help with this question this one and a couple more and im done with this EdPuzzle

vladimir2022 [97]

which one? I don’t see ay question

3 0

3 years ago

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest

Nostrana [21]

The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

<h3>What is monthly payment?</h3>

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

$M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)$

Here, (<em>P</em>) is the principal amount, (<em>r</em>) is the interest rate and (<em>t</em>) is time.

Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.

The table below shows the information about the two credit cards Brandon currently uses.

Cards Amount APR Monthly Payment
Card a $1,463.82 13% $24.60
Card b $1,157.98 17% $22.14

Interest rate for the card a is,

$r=\dfrac{13}{12\times100}=0.01083$

The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,

$M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47$

In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,

$P_a=19.47\times96=1869.12$

For the card B the monthly payment is $22.14. Thus the total payment by card B is,

$P_b=22.14\times96=2125.44$

The difference in the payment is,

$d=2125.44-1869.12\\d=256.12$

Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.

Learn more about the monthly payment here;

brainly.com/question/2151013

6 0

2 years ago

(f o g )(x) = (2x-3)/(x+4) ; x ≠ - 4 , and g(x) = 1 – x , so F(x) =

Leona [35]

Answer:

6xz + 24z - 4x

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x

Step-by-step explanation:

4 0