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3 years ago

A step by step answer please

Mathematics

1 answer:

Allushta [10]3 years ago

8 0

Answer:

7.92 m.

Step-by-step explanation:

Mean height = ∑(f . x) / ∑f where x is the midpoint and f the frequencies

The midpoints for the heights are:

2 for frequency 8 ( 0 + 4)/ 2 = 2

6 for .. 21

10 for .. 12

14 for .. 7

18 for .. 2

So the mean is:

[(2*8) + (6*21) + (10*12) + (14*7) + (18*2) ] / (8 + 21+12+7+2)

= 396 / 50

= 7.92 m.

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Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two

Zigmanuir [339]

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let (-11,7) be $x_1$ and $y_1$ , and (-5,1) be $x_2$ and $y_2$

Plug in the numbers:

$d=\sqrt{(-5-(-11))^2+(1-7)^2$

$d=\sqrt{6^2+(-6)^2}$

$d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8$

4 0

4 years ago

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af

Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

$5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29$