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34kurt
3 years ago
12

Given the first term and the common difference find the first five terms and the explicit formula

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

a_{1} = -34,\: a_{2} = -44,\: a_{3} = -54,\: a_{4} = -64,\: a_{5} = -74

____________________________________

a_{n} = -34\:–\:10(n-1)

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Triangle JKL has a base that is 1 unit long

Triangle J'K'L' has a base that is 3 units long

3 units / 1 unit = 3

The scale factor is 3.

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14. An engineer is designing a circular base for a
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Answer:

c=2(3.14)r

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2 years ago
Emaan charges a fixed amount for a bracelet, with an additional charge for each charm a customer adds to the bracelet. Write a l
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f(x) = y + (x*p)

Step-by-step explanation:

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Number of charms: x

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6 0
3 years ago
1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a
Rudik [331]

Answer:

Part A) \$42,888.48  

Part B) A=\$22,304

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12  

substitute in the formula above  

A=8,500(1+\frac{0.0812}{12})^{12*20}  

A=8,500(1.0068)^{240}  

A=\$42,888.48  

Part B) What if the deposit were compounded monthly with simple interest?  

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=20\ years\\ P=\$8,500\\r=0.0812

substitute in the formula above

A=8,500(1+0.0812*20)

A=\$22,304

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

A(t)=8,500(1.0068)^{12t} ------> equation A

A(t)=8,500(1+0.0812t)  -----> equation B

using a graphing tool  

see the attached figure  

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0
3 years ago
Can someone please help? I will give thanks and 5 stars, and if possible, brainlist, if you explain how to solve the question.
Sav [38]

Answer:

1/14

Step-by-step explanation:

Odd numbers: 5, 7, 9

3/7 × 1/6

1/14

4 0
3 years ago
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