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user100 [1]
3 years ago
13

Olivia invested $2,400 in an account paying an interest rate of 4.6% compounded continuously. Assuming no deposits or withdrawal

s are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $3,550?
Mathematics
2 answers:
chubhunter [2.5K]3 years ago
7 0

Answer:

8.7 so either 8 or 9 tenth of a year

Step-by-step explanation:

<em>Is it compounded per month? I assume</em>

1. Compound interest formula

FV = PV(1+r/100k)^kn

FV is the future value,

PV is the present value,

n is the number of years,

k is the number of compounding periods per year

r% is the nominal annual rate of interest

2. Plug in numbers

3550 = 2400(1+4.6/100*12)^12*n

71/48 = (6023/6000)^12n

12n = logBase(6023/6000)*(71/48)

n = answer/12

n ≈ 8.70

FinnZ [79.3K]3 years ago
5 0
8.7 so 8 or 8 of they year is the amount.
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Find the ordered pairs that solve the equation y=12
Rufina [12.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y = 0.5x

when x = 12

y = 0.5 · (12)

y = 6

when x = 0

y = 0.5(0)

y = 0

when x = 8

y = 0.5(8)

y = 4

when x = 12

y = 0.5(12)

y = 6

Thus, the table is completed such as:

x             y

0             0

8             4

12           6

Therefore, the ordered pairs that complete the equation y = 0.5 x are:

  • (0, 0)
  • (8, 4)
  • (12, 6)

The graph of the equation is attached below.

6 0
3 years ago
What is the slope of (-5,-1) (5,5)? Explain.
ArbitrLikvidat [17]

Step-by-step explanation:

slope =   \frac{ - 1 - 5}{ - 5 - 5}  = \frac{ - 6}{ - 10}   = \frac{ 3}{ 5} \\

3 0
4 years ago
Read 2 more answers
How can the x-intercept and y-intercept be used to graph a linear equation
JulijaS [17]
Because a line always goes past the y-intercept and x-intercept. It's not always both, it can sometimes just be the x-intercept or the y-intercept.

When a line intersects these points, for example if a line was to intersect the x-axis then y would be equal to 0, and the opposite for the y-axis. If a line was to intersect the y-axis x would be equal to 0.

Therefore by using that knowledge, and the equation of the line [ y=mx+c or y-y1=m(x-x1) ], we can find the equation of our line. Of course you would need the gradient of that line (the value "m").
5 0
4 years ago
83,78, 99,56, 48, 74, 68,55,85
____ [38]

Answer:

48, 55, 56, 68, 74, 78, 83, 85, 99

Mean: 71.77777777777777777..........

Median: 74

Mode: mode is the number seen the most, but there is no repeating values

Range: 51

Step-by-step explanation:

<u>Mean:</u>

add all the values together, and divide by how many values you have, so 646/9= 71.777777777............

<u>Median:</u>

the number in the middle of the sequence

<u>Range:</u>

the difference between the largest and smallest numbers/values.

I hope this helps u pls give a brainliest and a thx ;)

3 0
3 years ago
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How can these models be used to find the sum 1.8 + 1.56?
enyata [817]

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

3 0
2 years ago
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