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Lyrx [107]
3 years ago
15

Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranber

ry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?
A. 3.60(q – 4) + 25.20 = 4.50q
B. 3.60q + 25.20 = 4.50(q + 4)
C. 6.30(q – 4) + 14.40 = 4.50q
D. 6.30q + 14.40 = 4.50(q + 4)
Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

Answer:

The answer is D! (:

Korvikt [17]3 years ago
6 0

We know that:

Cost (Cranberry Juice): 6.3 per quart

Cost (Apple Juice): 3.6 per quart

Quantity (Apple Juice): 4 quarts

Quantity (Cranberry Juice): q quarts

Further we know that Terrence wants the cost of the juice to be 4.5 per quart

Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)

⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4

⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D

Hence, the correct option is D

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Please help! I will mark brainliest!! Please!! Even with just one of these
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4 0
4 years ago
Solve for x<br> X-7=-x/2+4
motikmotik

Answer:

x=7.3

x=7\frac{1}{3}

x=\frac{22}3}

just in different form

x - 7 =-x ÷ 2 + 4

x - 7 = -\frac{1}{2} x + 4

2x - 14 = -x + 8

2x + x = 8 + 14

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5 0
3 years ago
Compound Interest Application
lora16 [44]

Answer:

$29,721

Step-by-step explanation:

We have been given that Wyatt is investing money into a savings account that pays 2% interest compounded annually, and plans to leave it there for 15 years. We are asked to find the amount deposited by Wyatt in order to have a balance of $40,000 in his savings account after 15 years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nT}, where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

T = Time in years.

Let us convert our given interest rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula, we will get:

\$40,000=P(1+\frac{0.02}{1})^{1*15}

\$40,000=P(1+0.02)^{15}

\$40,000=P(1.02)^{15}

\$40,000=P\times 1.3458683383241296

Switch sides:

P\times 1.3458683383241296=\$40,000

\frac{P\times 1.3458683383241296}{ 1.3458683383241296}=\frac{\$40,000}{1.3458683383241296}

P=\$29,720.5891995

Upon rounding our answer to nearest dollar, we will get:

P\approx \$29,721

Therefore, Wyatt will have to invest $29,721 now in order to have a balance of $40,000 in his savings account after 15 years.

3 0
3 years ago
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