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3 years ago

An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

First year's interest is already given.

There are 5 more payments of interest

= 5 * 0.07 * 950 = 332.5

so amount in the account after 6 years = 950 + 332.5 = 1282.5

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Find the point P along the directed line segment from point A(-16,-8) to point B(0,-17) that divides the segment in the ratio 7

bonufazy [111]

Answer: P(-7.38,-12.85)

Steps:

Draw the directed line in a chart, including points A and B.

Look for the x coordinate of P:

the distance |B-A| along the x coord is |0-(-16)|=16

we are looking for a proportion of 7/13 of that:

the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38

Look for y coordinate of P:

the distance |B-A| along the y coord is |-17-(-8)|=9

we are looking for a proportion of 7/13 of that:

the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85

so the point P is P(-7.38,12.85)

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3 years ago

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

Paul [167]

So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
$\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\ \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow \\
\textit{expand using binomial theorem, or FOIL}$

you'd end up with a quadratic, after simplifying, solve for "w"

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3 years ago

Imad and Amra are butterflies. Imad drinks 3 grams of nectar a week. Amra drinks 2 grams of nectar a week. How many grams of nec

GarryVolchara [31]

Answer:

20 grams

Step-by-step explanation:

3+2=5 grams for 1 week

5x4=20

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3 years ago

Which measurement best describes about how much water is in the Boston aquarium's fish tanks?

kobusy [5.1K]

I would say gallons or tons?

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3 years ago

Write this in slope intercept form plsss<br><br> (–5, 4); slope –3

STALIN [3.7K]

BRAINLEIST PLZ

Answer:

Use point slope form y = mx + b, where m = slope & b = y-intercept. We can use point-slope form and the given info to find b.

y = mx + b, m = -3 and (5,4) is a given point (x, y)

4 = -3(5) + b

4 = -15 + b

19 = b

The equation of the line is y = -3x + 19.

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2 years ago