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Gala2k [10]
2 years ago
9

Buying a Car Math Quiz

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

Answer:

The annual difference in the cost between the two cars in gasoline plus monthly payment per month will be $856.67.

Step-by-step explanation:

Car option "A" gets 18 miles per gallon of gas (MPG) and has a monthly payment of $368.

Now, yearly 12000 miles will consume \frac{12000}{18} = 666.67 gallons of gas.

Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(666.67 × 2.89) = $1926.67

Hence, the yearly cost for option A will be $(1926.67 + 368 × 12) = $6342.67.

Now, car  option "B" is a hybrid and gets 60 MPG with a monthly payment of $409.

Now, yearly 12000 miles will consume \frac{12000}{60} = 200 gallons of gas.

Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(200 × 2.89) = $578

Hence, the yearly cost for option B will be $(578 + 409 × 12) = $5486.

So, the annual difference in the cost between the two cars in gasoline plus a monthly payment per month will be $(6342.67 - 5486) = $856.67. (Answer)

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What is the equation of this circle in standard form?
Musya8 [376]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (2, 3 ) and r = 6, thus

(x - 2)² + (y - 3)² = 6², that is

(x - 2)² + (y - 3)² = 36 → D

3 0
2 years ago
Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest
lakkis [162]

Answer:

Option B ,$133.92  is correct

Step-by-step explanation:

By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well

Let us approach the question by solving for monthly payment of  Card A using   12% APR as follows while making use of excel pmt formula:

=pmt(rate,nper,-pv,fv)

rate is the monthly rate on the card which is 12%/12=1%

nper is the number of months of payment which is 12 months * 4 years=48

pv is the current balance in the card which is $1,389.47

fv is the total amount of monthly repayment which is taken as zero

=pmt(1%,48,-1389.47,0)=$ 36.59  

Using 16% monthly payment is $39.38  which is given already

Total monthly payments for 16%=$39.38*48=$1890.24

Total monthly payments for 12% APR=$36.59*48=$1756.32

savings in total repayments=savings in interest=$1890.24 -$1756.32 =$133.92

4 0
1 year ago
The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is
marusya05 [52]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}

4 0
2 years ago
What is the coefficient of the following expression? 7c + 8
zloy xaker [14]

Answer:

3. 7

7 is the coefficient.

3 0
2 years ago
If you add 0.43 to a certain number then subtract 0.58 from the result and then another 4.04, you’ll get 30.3. What is the certa
evablogger [386]
Let's call the number x. Now, let's make an equation to help us solve this problem. 

(((0.43+x)-.58)-4.04) = 30.3
(0.43+x)-4.64 =  30.3
x-4.21 = 30.3 
x = 30.3 + 4.21
x = 34.51

The answer is 34.51 and there's the work for you. Have a great day!
8 0
2 years ago
Read 2 more answers
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