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Tomtit [17]
3 years ago
13

Which sequences are converging? Check all that apply.

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

B & E

Step-by-step explanation:

Edge trust me

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Nevaeh invested $660 in an account paying an interest rate of 3% compounded
iris [78.8K]

Answer:

19

Step-by-step explanation:

Rate 1: 3  

4

1

​  

%=3+1/4=

\,\,3.25\%\rightarrow 0.0325

3.25%→0.0325

\text{Rate 2: }3\tfrac{1}{8}\%=3+1/8=

Rate 2: 3  

8

1

​  

%=3+1/8=

\,\,3.125\%\rightarrow 0.03125

3.125%→0.03125

\text{Calculate Final Amount for Nevaeh}

Calculate Final Amount for Nevaeh

\overline{\phantom{\text{Calculate Final Amount for Nevaeh}}}

Calculate Final Amount for Nevaeh

 

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

 

P=660\hspace{35px}r=0.0325\hspace{35px}t=14

P=660r=0.0325t=14

Given values

A=660e^{0.0325(14)}

A=660e  

0.0325(14)

 

Plug in

A=660e^{0.455}

A=660e  

0.455

 

Multiply

A=1040.2744

A=1040.2744

Use calculator (with e button)

\text{Calculate Final Amount for Jonathan}

Calculate Final Amount for Jonathan

\overline{\phantom{\text{Calculate Final Amount for Jonathan}}}

Calculate Final Amount for Jonathan

 

\text{Compounded Monthly:}

Compounded Monthly:

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

A=P(1+  

n

r

​  

)  

nt

 

Compound interest formula

P=660\hspace{35px}r=0.03125\hspace{35px}t=14\hspace{35px}n=12

P=660r=0.03125t=14n=12

Given values

A=660\left(1+\frac{0.03125}{12}\right)^{12(14)}

A=660(1+  

12

0.03125

​  

)  

12(14)

 

Plug in values

A=660(1.0026042)^{168}

A=660(1.0026042)  

168

 

Simplify

A=1021.6468

A=1021.6468

Use calculator

\text{How much more money Nevaeh has:}

How much more money Nevaeh has:

1040.2744-1021.6468

1040.2744−1021.6468

18.6276

18.6276

\$ 19

$19

4 0
3 years ago
Reflect (1, -4) over the x-axis.
mario62 [17]

Answer: (4,4)

Step-by-step explanation:

(1,-4) reflected over the x-axis is (1,4). Then translated 3 units up is (4,4). Hope this helps

5 0
3 years ago
11. Use multiplication to find an equivalent<br> fraction for 1/3
nikitadnepr [17]

Answer: 1/3*2*2=2/6

Step-by-step explanation:

Hope this helps

4 0
3 years ago
Read 2 more answers
What is the number 4.082 rounded to nearest hundreth?
iragen [17]
The 2nd number position after the decimal is always the hundredth position, so we will work from there. To round a number, you must examine the number that comes after the number you are trying to round. In this case the number you are trying to round is the 8 so we have to look at the 2. because the two is a number less than 5, the 8 will remain an 8 and your rounded answer is 4.08. If that two had been a number greater than 5 than the 8 would have become a 9 and your answer would have been 4.09. When rounding always remember: "5 to 9, up the line; 0 to 4, down to the floor."
7 0
3 years ago
Which problem would you use the following proportion to solve for? = what is 40% of 24? what percent is 24 of 40? twenty-four is
ser-zykov [4K]
First you have to remember that to find a percentage you can multiply a number by the percentage's decimal form, for example 40% of 100 would be .40 * 100.
Anyways, 24*.40 =9.6.
To find the percentage however, you must divide 24/40 which equals 0.6, which is equal to the percentage 60%.
To find the third question, you must multiply 24 by 2.5 (0.4 * 2.5 = 1) and you should get 60.
The last question you may have made a typo on, you repeated the first question.
5 0
3 years ago
Read 2 more answers
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