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skelet666 [1.2K]
3 years ago
7

Connie made deposits of $2,000 at the beginning of each year for four years. the rate she earned is 5% annually. what is the val

ue of connie's account in four years?
Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
To get the value of Connie's deposits we use the future value of annuity:
FV=P[((1+r)^n-1)/r]
where:
P=periodic deposits
r=rate
n=time
thus plugging our values in the formula we get:
FV=2000[((1+0.05)^4-1)/0.05]
FV=$8620.25

Answer: $8620.25
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Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.
valkas [14]

Answer:

Yes

Step-by-step explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

                        = 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

                       = 14d -  10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.

8 0
3 years ago
Need math help please!
Otrada [13]

Answer:

ASA

Step-by-step explanation:

The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.

So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).

3 0
3 years ago
Use the table below to answer this question:
andrew11 [14]
(y_final-y_start)/(x_final-x_start) always! :) that easy

(-6-2)/(2-0) = -4

You probably know that if the interval was pretty small, between 0 and 0.0001, it would take you to the concept of slope and derivatives, but average change is just ignoring anything in between x=0, and x=2 (it could go up/down million times, and still the answer would be -4)

hope it helps
3 0
3 years ago
70,000 devided by 7,000
marusya05 [52]
It would be 10 because 7000 can go into 70,000 10 times. You can you a calculator or look at the zeros take away the 3 zeros in 7000 and then 3 zeros in 70,000 making it 7 and 70 and 7 goes into 70 10 times as well. I hope this helps!
7 0
3 years ago
A shipment of 12 microwave ovens contains 3 defective units. A vending company has ordered 4 of these units, and because all are
pishuonlain [190]
P(defective) = 3/12 = 1/4
P(good) = 1 - 1/4 = 3/4
P(2\ good)=4C2\times0.75^{2}\times0.25^{2}=0.211
P(3\ good)=4C3\times0.75^{3}\times0.25=0.422
P(4\ good)=0.75^{4}=0.316
The probability that at least 2 units are good is given by:
P(2 good) + P(3 good) + P(4 good) = 0.211 + 0.422 + 0.316 = 0.949.

4 0
3 years ago
Read 2 more answers
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