Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to
5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is
$2,461, determine the amount in her account after 25 years. Round to the nearest cent
a$339,804.33
$354,452.86
$344,941.24
d. $347.269.59
b
C

Answer:

x = 21

Step-by-step explanation:

For the complementary angles, the sum of two angles is equal to 90 degrees.

ATQ,

3x+2+x+4 = 90

Taking like terms together,

3x+x+6=90

4x+6=90

4x = 84

x = 21

So, the value of x is equal to 21.

Answer:

7 squares

Step-by-step explanation:

Key skills: Counting, Averages

1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.

2) Since there are already 53 squares present, you need 60-53 = 7 squares more.

Hope you understood and have a nice day!!

answer:

should be 7 squares.

Answer:

Px9=60.75

Step-by-step explanation:

2/7 or 2:7 or about 28.5%

Answer: 2/7 or 2 out of 7

Step-by-step explanation: because there are 2 y's in the word synonym

Answer:

it lose 90 percent in 3 hours so peter is incorrect

Step-by-step explanation:

Answer & Step-by-step explanation:

2. 4 times (*) f equals (=) 1/2

Equation: 4f=1/2

4 times (*) 1/8 equals (=) 1/2

f = 1/8

3. 832 divided by (/) n equals (=) 16

Equation: 832/n=16

832 divided by (/) 52 equals (=) 16

n = 52

4.  10 subtracted from (-) x equals (=) 6

Equation: 10-x=6

10 - 4 = 6

x = 4

Hope this helps ;)

Answer:

Jinsoul from Loona

Step-by-step explanation:

In order to solve this problem, you must do the famous math operation: Jinsoul from Loona

Have a nice day!

Answer:

its easy the anser is x=40

Step-by-step explanation:

you just add the numbers

Answer:

A → C = 150h + 250 ( where C is charge )

B → C = 175h + 150

for 26 hours

A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150

B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700

Attorney A is cheaper for 26 hours, thus better deal

Equate the 2 equations to find hours they charge the same

175h + 150 = 150h + 250 ( subtract 150h from both sides )

25h + 150 = 250 ( subtract 150 from both sides )

25h = 100 ( divide both sides by 25 )

h = 4 ← number of hours when charges for both are equal

Attorney A becomes a better deal at 5 hours

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

30 divided by 5 equals six, therefore six miles.

Answer:

i think it is 6

Step-by-step explanation:

you divided 30 by 5

Answer:pretty sure its 0.25n+6

Step-by-step explanation: that seems the most reasonable

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft

Answer:

4 3/4 - 1/3 = 4 5/12

Step-by-step explanation:

4 9/12 - 4/12 = 4 5/12

Answer:

D. 21.9%

Step-by-step explanation:

(650÷2970)x100= 21.88% rounded off 21.9%

Waiting overnight

You should never wait overnight before making a big purchase if there is only one item left. Teens have cited ʺfriendsʺ as the strongest influence over their purchase decisions.

Answer:

the first one

Step-by-step explanation:

because my mom shop and she do not NEVER go to sleep it will mess up your purachase

Step-by-step explanation:

a=

[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]

Answer:

3

Step-by-step explanation:

%25 is 1/4

1/4 of 12 is 3

Answer:

3

Step-by-step explanation:

25% is equal to 1/4. Of means multiply. Therefore, you would just multiply 1/4 and 12. Your answer should be 3.

Answer:

0, 5

Step-by-step explanation:

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24

Answer:

Graph is below.

Step-by-step explanation:

The solutions of the equations are : x = [8 ± √ 40] / 4

Given,

Y=2x² - 8x+3

Now,

To get the solution of equation equate it to 0 .

2x² - 8x+3  = 0

By quadratic formula,

x = -b ± √ b² - 4ac/2a

Substitute the values in the formula,

x = [8 ± √ 64 - 4(2)(3)] / 2* 2

x = [8 ± √ 40] / 4

Now plot the points in the graph. The graph is attached below.

Know more about equations,

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Answer: that is imposibble

Step-by-step explanation:

Answer:

exactly 1 (I Think)

Step-by-step explanation:

3

Answer:

exactly 1

Step-by-step explanation:

it is

Answer:

[tex]y = \frac{-7}{3}x -12[/tex]

Step-by-step explanation:

Point-slope form is [tex]y-y_1= m (x-x_1)[/tex]. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] have to be substituted for with real values in order to make an equation of a line. From there, you can isolate [tex]y[/tex] to turn it into slope-intercept form.

1) First, let's find the slope of the line, which is represented by the variable [tex]m[/tex]. Use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of one point, [tex]x_2[/tex] and [tex]y_2[/tex] are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):

[tex]\frac{(2)-(-5)}{(-6)-(-3)} \\= \frac{2+5}{-6+3} \\= \frac{7}{-3}[/tex]

Thus, the slope is [tex]\frac{7}{-3}[/tex].

2) Now that we have the slope, let's substitute it into the point-slope formula. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:

[tex]y-(2) = \frac{-7}{3} (x-(-6))\\y -2 = \frac{-7}{3} (x+6)\\y-2 = \frac{-7}{3}x-\frac{42}{3} \\y -2 = \frac{-7}{3}x-14\\y = \frac{-7}{3}x-12[/tex]

So, [tex]y = \frac{-7}{3}x -12[/tex] is the answer.

Answer: 6.5

Step-by-step explanation: You first substract 11-10 that would be 1 so, you divide it by 2, that tyhe answer of that is 0.5 so we add 6, the total owuld be 6.5, times 1, it would be the samen cantity because each number multiple by 1 give the same answer.

Ignore.. this answer

Answer:

2/35

Step-by-step explanation:

6/7÷3/5

LCM=35

5(6÷7(3)/35

42÷21/35

=2/35

Answer:

0.0061

Step-by-step drip check:

The name of the formula you get if you solve for P could be "Principal (loan amount)" "Term of the loan (in months)" or "Number of monthly payments"

Logarithms;

[tex]n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]

Consider the monthly payment formula

[tex]M= \dfrac{Pr(1+r)^n}{(1+r)^n-1}[/tex]

where: M = monthly payment.

P = principal loan amount.

r = interest rate per month (in decimal form).

n = term of the loan (in months).

If we will solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we have to use logarithms:

[tex]M (1+r)^n-1=Pr(1+r)^n\\\\\dfrac{1}{ (1+r)^n} = 1 - \dfrac{Pr}{M} \\\\ln\dfrac{1}{ (1+r)^n} = ln[1 - \dfrac{Pr}{M} ]\\\\\\n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]

Learn more about monthly payments questions;

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Answer:

its c

Step-by-step explanation:

Answer:

400 miles

Step-by-step explanation:

50 miles.....1 gallon

x miles......8 gallons

50*8=400