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Rufina [12.5K]
3 years ago
9

A solar heating system costs $25,000 to install with a yearly operating cost of $300. An electric heating system costs $6,500 to

install but incurs a yearly operating cost of $4,000. How many years will pass before the total cost of the solar heating system is less than the total cost of the electric heating system? Round your answer to the nearest year, if needed. Type in your numerical answer only; do not type any words or letters with your answer.

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

it should take around 4 to 5 years before you start to see a difference  

See the attachment for more info.

Step-by-step explanation:

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Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea
amm1812

The number of cookies and trays are illustrations of greatest common factors.

  • The number of trays is 8
  • 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

<u>(a) The number of trays</u>

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}

\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}

\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}

So, the GCF is:

\mathbf{GCF= 2 \times 2 \times 2}

\mathbf{GCF= 8}

Hence, the number of tray is 8

<u>(b) The number of each type of cookie</u>

We have

\mathbf{Chocolate\ chip=48}

\mathbf{Rainbow=64}

\mathbf{Oatmeal=120}

Divide each cookie by the number of trays

So, we have:

\mathbf{Chocolate\ chip = \frac{48}{8} = 6}

\mathbf{Rainbow = \frac{64}{8} = 8}

\mathbf{Oatmeal = \frac{150}{8} = 15}

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0
2 years ago
You have $50 in your savings acc. Every week, you add $5 into it. What is a appropriate expression?
Anestetic [448]
50 plus 5x= y X is the number of weeks and y is the total amount.
Ex. 50+5x3=65 dollars
5 0
3 years ago
Read 2 more answers
I don't even know how to figure this out. I don't have a formula for this
yuradex [85]

Answer:

\sin\theta=\dfrac{15}{17}

?=15

Step-by-step explanation:

Use the trigonometry formula

\cos^2\theta+\sin^2\theta=1

You are given that

\cos \theta=\dfrac{8}{17}

Substitute into the first formula

\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}

Angle \theta is acute angle, then the sine of this angle is positive and

\sin\theta=\dfrac{15}{17}

3 0
3 years ago
The sum of 3 fifteens and 4 twos
iogann1982 [59]
The sum of 3 fifteens and 4 twos will be 45 +8 = 53

3 0
3 years ago
I need help pleaseeeee
Ira Lisetskai [31]
2.1 ÷ 1.488 = 1.41
1.41 rounded to the nearest tenth is 1.4
so your answer is 1.4
7 0
3 years ago
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