Answer:
210 cm³
Step-by-step explanation:
RULE :
the volume of the triangular prism = the area of the base × the height
= 14 × 15
= 210
Answer:
58
Step-by-step explanation:
First, draw out your triangle on a piece of paper, and label each point w, x, and y
We are then told that side wx and yw are similar. This means that we have an isosceles triangle with two similar sides.
We are also told that angle w is equal to 64 degrees
with this information, we can assume that angle y is the same as angle x
Another important thing to note is that all triangle measures equals to 180
SO
we can make this expression:
64 + x + x = 180
Now to solve for x:
64 + x + x = 180
64 + 2x = 180
2x = 116
x = 58
Answer:
24
Step-by-step explanation:
Answer:
$22.84
Step-by-step explanation:
The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.
In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.
After k payments, the amount A still owed is
<span>A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i,
= (P-Mq/i)(1+[i/q])k + Mq/i.
</span>The amount of the fixed payment is determined by<span>M = Pi/[q(1-[1+(i/q)]-nq)].
</span>The amount of principal that can be paid off in n years is<span>P = M(1-[1+(i/q)]-nq)q/i.
</span>The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]).
The total amount paid by the borrower is Mnq, and the total amount of interest paid is<span>I = Mnq - P.</span>
