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Soloha48 [4]
2 years ago
11

Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

A) S(n) = 34000(1.025^{n})

B) $38,468

Step-by-step explanation

34000 (1.025^{5}) = 38,467.8792

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In isosceles △ABC the segment BD (with D∈ AC ) is the median to the base AC . Find BD, if the perimeter of △ABC is 50m, and the
Morgarella [4.7K]

Let the equal sides of the isosceles Δ ABC be x.

Given that the perimeter of Δ ABC = 50m.

Therefore, 2x + AC = 50 --- (1)

It is also given that the perimeter of Δ ABD = 40m.

Therefore, x + BD + AD = 40

BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.

So AD = CD.

Or, AD = \frac{1}{2} AC

Therefore, x + BD + \frac{1}{2} AC = 40

Multiply both sides by 2.

2x + 2BD + AC = 80

From (1), 2x + AC = 50.

Therefore, 2BD + 50 = 80

2BD = 80 - 50

2BD = 30

BD = 15m.

6 0
3 years ago
Read 2 more answers
Marty made a $220 bank deposit using $10 bills and $5 bills. She gave the teller a total of 38 bills, how many $5 bills were in
Luda [366]

ANSWER: 32 five-dollar bills

======

EXPLANATION:

Let x be number of $5 bills

Let y be number of $10 bills

Since we have total of 38 bills, we must have the sum of x and y be 38

x + y = 38 (I)

Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):

5x + 10y = 220 (II)

System of equations:

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ 5x + 10y &= 220 && \text{(II)} \end{aligned} \right.

Divide both sides of equation (II) by 5 so our numbers become smaller

\left\{ \begin{aligned} x + y &= 38 && \text{(I)} \\ x + 2y &= 44 && \text{(II)} \end{aligned} \right.

Rearrange (I) to solve for y so that we can substitute into (II)

\begin{aligned} x + y &= 38 && \text{(I)} \\ y &= 38 - x \end{aligned}

Substituting this into equation (II) for the y:

\begin{aligned} x + 2y &= 44 && \text{(II)} \\ x + 2(38 - x) &= 44\\ x + 76 - 2x &= 44 \\ -x &= -32 \\ x &= 32 \end{aligned}

We have 32 five-dollar bills

======

If we want to finish off the question, use y = 38 - x to figure out number of $10 bills

y = 38 - 32 = 6

32 five-dollar bills and 6 ten-dollar bills

7 0
3 years ago
Please help! BRAINLIEST!!!
poizon [28]

Answer:

50. in this graph it is talking about the rate it changed from 1 to 4

Step-by-step explanation:

f(b)-f(a)/b-a

270-120/4-1

50

6 0
3 years ago
You have a bag of 14
AlekseyPX

Answer:

30% or 30/100

Step-by-step explanation:

14+15+9+12= 50 Jelly beans total

yllow- 15

15/50=30/100= 30%

7 0
3 years ago
Yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
attashe74 [19]

Answer:

6

Step-by-step explanation:

5% of 120 were late

= \frac{5}{100} × 120

= 0.05 × 120

= 6

6 0
2 years ago
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