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2 years ago

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Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.

wilkins makes no additional deposits or withdrawals Which amount is closest to the balance of the account at the end of 2 years

1 answer:

WARRIOR [948]2 years ago

4 0

Answer:

Step-by-step explanation:

$2,662.50

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+10y=90

Delicious77 [7]

Answer:

y=-6/5+9

Step-by-step explanation:

your going ro put it in y=mx+b format

so it would be ur equation 12x+10y=90

subtract 12x from both sides and get 10y=-12x+90

u have to get 10 by itself so you divide 10 to everything and get y=-12/10x+90/10

you have to simplify so get y=-6/5+9

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A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi

Len [333]

Given slabs thicknesses 5in, 10in, and 15in.

Therefore,<u> </u><u>ratio of thicknesses in simplest form would be 1:2:3.</u>

Metal 1 thicknesses = 150lbs, 300lbs, 600lbs

Dividing by 150, we get ratio of Metal 1 thicknesses = 1:2:4.

Metal 2 thicknesses = 130lbs, 260lbs, 390lbs.

Dividing by 130, we get ratio of Metal 2 thicknesses = 1:2:3.

Metal 3 thicknesses = 310lbs, 620lbs, 930lbs.

Dividing by 310, we get ratio of Metal 3 thicknesses = 1:2:3.

Metal 4 thicknesses = 140lbs, 280lbs, 420lbs.

Dividing by 140, we get ratio of Metal 4 thicknesses = 1:2:3.

<u>We can see the ratios of thicknesses of Metal 1 are 1:2:4 but it should be 1:2:3.</u>

Therefore, Metal 1 weight is not proportional to thickness.

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2 years ago

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Zach walked his dog for 7/8 hour. They spent 1/2 of the time at the beach. How much time did Zach and his dog spend at the beach

Tresset [83]

Answer: $\frac{7}{16}hour$

Step-by-step explanation:

You know that the total time was: 7/8 hour

You also know that they spent 1/2 of the time at the beach.

Therefore, to calculate the time Zach and his dog spend at the beach (which you can call x) , you must multiply both fractions (7/8 and 1/2).

Then, you obtain the following result:

$x=\frac{7}{8}hour*\frac{1}{2}\\\\x=\frac{7}{16}hour$

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2 years ago

Factor the algebraic expression below in terms of a single trigonometric function. csc 2x - 1

hjlf

(csc(x) + 1)(csc(x) -1)

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2 years ago

The infield of a baseball field is a square

AnnZ [28]

Answer:

106.1 ft/s

Step-by-step explanation:

You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.

The speed is the ratio of distance to time:

speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.

_____

In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:

d² = 1² + 1²

d² = 2

d = √2

Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.

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2 years ago