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Zanzabum
3 years ago
8

Answer Please........​

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

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Desmond deposits $50 into a savings account every month at an annual interest rate of
joja [24]

Given:

Desmond deposits $ 50 monthly.

Yearly he deposits = $50×12 = $ 600

Rate of interest compounded monthly = 4.7%

To find the amount he will receive after 10 years and the rate of change the value of his account after 10 years.

Formula

A = P(1+\frac{r}{(n)(100)} )^{nt}

where,

A be the final amount

P be the principal

r be the rate of interest

t be the time and

n be the number of times the interest is compounded.

Now,

Taking,

P = 600, r = 4.7, n = 12, t = 10 we get,

A = 600(1+\frac{4.7}{(12)(100)}) ^{(12)(10)}

or, A = 600(1.0039)^{120}

or, A = 959.1

Now,

At starting he has $ 600

At the end of 10 years he will be having $ 959.1

So,

The amount of change in his account = $ (959.1-600) = $ 359.1

Therefore the rate of change = (\frac{359.1}{600} )(100) %

= 59.85%

Hence,

a) His account will contain $ 959.1 after 10 years.

b) The rate of change in his account is 59.85% after 10 years.

7 0
3 years ago
Here james and stuff i need this
Wittaler [7]

Answer:

The Cost Price will be $19.99

Step-by-step explanation:

James

Sale Price = (100 - Discount Rate) x Cost Price

Let Y = Cost Price

By Putting the values in above equation:

$16.99 = (100 - 15) x Y

$16.99 = 0.85Y

Dividing the equation by 0.85, we get

Y = $16.99 / 0.85

Y = $19.99

4 0
3 years ago
In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation
vampirchik [111]

Answer:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

The graph will look like the graph in the attachment below.

A quantity (dependent variable) will change constantly in relation to another quantity (independent variable) if the relation is a proportional relationship.

A familiar situation for example can be the cost you pay for books will be directly proportional or dependent on the number of books you bought.

That is:

Number of books = independent variable

Cost ($) = dependent variable

A change in the number of books will cause a change in the cost you will pay for buying books.

This shows a direct proportional relationship between the two quantities.

On a straight line graph, the graph will be a proportional graph showing number of books on the x-axis against cost ($) you pay on the y-axis.

Therefore:

A familiar situation is: cost of books you pay for versus the quantity of books bought.

Cost of books ($) and quantity of books are directly proportionally related in the situation.

Step-by-step explanation:

hope this helps cutey ;)

3 0
3 years ago
Write using exponential notation 9*9*4*4*4*4
kolezko [41]
9^2*4^4 is the correct answer I believe.
8 0
3 years ago
A teacher buys a picture for the library. The teacher pays 10.5% sales tax on the original price of the picture. The original pr
lawyer [7]

Answer:$7.56 because 72 times 0.105 is 7.56

Step-by-step explanation:

3 0
3 years ago
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