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makvit [3.9K]
2 years ago
6

Greg invested $9,000 in an investment account that earns 4.2% interest compounded monthly.

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

Step-by-step explanation:

y=a(1+r/c)^{ct}\\ \\ y=9000(1+.042/12)^{12t}\\ \\ y=9000(1.0035)^{12t}\\ \\ a)\ y=9000(1.0035)^{12(10)}=\$ 13687.61\\ \\ b)\ 15400=9000(1.0035)^{12t}\\ \\ 1.0035^{12t}=77/45\\ \\ 12t ln(1.0035)=ln(77/45)\\ \\ t=(ln(77/45))/(12ln(1.0035))\\ \\ t\approx 12.8\ years

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What is the length of segment AC?
Andrei [34K]

Answer:

10 units

Step-by-step explanation:

To find the length we can use the formula

d = sqrt( (y2-y1)^2 + (x2-x1)^2)

We have the two points (-5,5) and (3,-1)

d = sqrt( (-1-5)^2 + (3--5)^2)

d = sqrt( (-6)^2 + (3+5)^2)

d = sqrt( (-6)^2 + (8)^2)

d = sqrt( 36 + 64)

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d = 10

4 0
3 years ago
X=17-4y<br> y=x-2<br> answer by substitution
GaryK [48]

Answer:

(5,3)

Step-by-step explanation:

x=17-4y

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5 0
3 years ago
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

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2(x + 10x) = x(10x) and

2(11x)=10x^2 and

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7 0
3 years ago
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AfilCa [17]

Answer:

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
What is the slope of the line defined by the equation 3x - 4y = 5?
vodomira [7]
First, you have to answer the question in simplest form:
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3 years ago
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