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2 years ago

If pens cost 9 cents each, what equation could be written to calculate the cost, c, of any number of pens, p?

Mathematics

1 answer:

Nadya [2.5K]2 years ago

4 0

Answer:

The total cost (in dollars) of p pens is C = 0.09 p

Step-by-step explanation:

The cost of each pen = 9 cents

Now, 1 cent = $0.01 cents

⇒ 9 cents = $0.09

So, the cost of 1 pen = $0.09

The number of pens purchased= p

Let the total cost of p pens = c

Also, the cost of p pens = p x ( Cost of 1 pen) = p ( $0.09) = 0.09 p

or, C = 0.09 p

Hence the total cost (in dollars) of p pens is C = 0.09 p.

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3 years ago

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How to find x using trigonometry

I am Lyosha [343]

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Sine of the angle = opposite side over the hypotenuse

sin(42°) = 6.5/h
rearrange, solve for h
h = 6.5/sin(42°)
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For the other triangle, the angle is unknown. I'd split it into two right triangles; down angle x since it is an isosceles it will be bisected into two equivalent triangles.

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3 0

2 years ago

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% ap

ASHA 777 [7]

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = $\frac{P\times r\times t}{100}$

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = $\frac{18000\times 14.5\times 5}{100}$

= $13050

Total payable amount = 18000 + 13050

= $31050

Formula for the amount payable with compound interest,

Final amount = $\text{Initial amount}(1+\frac{r}{n})^t$

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = $18000(1+\frac{0.089}{1})^4$

= 18000(1.089)⁴

= $25315.36

Difference in total payback = $31050 - $25315.36

= $5734.64

7 0

1 year ago