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4 years ago

Please help with this!!! My grade depends on it!!!

Mathematics

1 answer:

riadik2000 [5.3K]4 years ago

5 0

Answer:

52 degree

Step-by-step explanation:

So using cos again again :v

AC^2 = AB^2 +BC^2 - 2ABBCcosB

AC = 31.796cm

then

BC^2=AB^2 + AC^2 -2ABACcosA

Cos A = 0.61

A=52.17degree

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Rearange into slope intercept 3x-5y=10

Neporo4naja [7]

3x-5y=10
-5y=-3x+10
y=3/5x-2

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3 years ago

Two column proof 2n-21=n/4

natita [175]

Simplifying:

2n-21=0.25n

We move all terms containing n to the left and all other terms to the right.

+2n-0.25n=+21

We simplify left and right side of the equation.

+1.75n=+21

We divide both sides of the equation by 1.75 to get n.

n=12

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3 years ago

Y = 7x − 7z − 9 Solve for X

Novay_Z [31]

Y= 7x - 7z -9
+9    +9 Y+9+7z /7=x
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4 years ago

QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will

Len [333]

The contribution of the friend's company is of: $60.

The account's balance after 20 years will be of: $130,694.36.

The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.

The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

The meaning of each parameter is explained as follows:

P is the total month deposit.

r is the interest rate.

n is the number of coupoundings per period, that is, compoundings per year.

t is the number of years.

The deposits will be of:

Friend: $120.

Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

$B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}$

B = $130,694.36.

The total deposits will be of:

Friend: 120 x 20 x 12 = $28,800.

Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

#SPJ1

3 0

1 year ago

What is the distance between point A and point B? Round to nearest tenth.

Sergeu [11.5K]

Answer:

$d \approx 12.6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(8+4)^2+(6-2)^2}$
Add/Subtract: $d = \sqrt{(12)^2+(4)^2}$
Exponents: $d = \sqrt{144+16}$
Add: $d = \sqrt{160}$
Simplify: $d = 4\sqrt{10}$
Evaluate: $d = 12.6491$
Round: $d \approx 12.6$

7 0

3 years ago