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Natali5045456 [20]
3 years ago
13

In planning her retirement, Liza deposits some money at 3% interest, with twice as much deposited at 5%. Find the amount deposit

ed at each rate if the total annual
interest income is $2080.

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

16000 at 3%

32000 at 5%

Step-by-step explanation:

x= amount invested at 3%

y= amount invested at 5%

.03x+.05y=2080

2x=y

.03x+.05(2x)=2080

.03x+.1x=2080

.13x=2080

x= 16000

2*16000= y

32000=y

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Which statement is true about f(x)-2/3lx+4l-6?
slamgirl [31]
1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.

That helps you to conclude:

a) The graph of f(x) has a vertex on (-4, -6)

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3 years ago
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The denominator of a rational number is greater than the numerator by 6 if the numerator and denominator are both increased by 2
DerKrebs [107]

Answer:

7/13

Step-by-step explanation:

Let's call x= numerator

We know that :

Denominator= x+6

And

(numerator +2)/(denominator +2) = 3/5

So

(x+2)/(x+6+2)=3/5

(x+2)/(x+8)=3/5

(x+2)*5=(x+8)*3

5x+10=3x+24

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x=7

In the end

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I hope this helps, have a beautiful day

4 0
3 years ago
Francesco wants to figure out how many ounces in his tub of protein powder. His friend ordered that tub that was 48 ounces. Fran
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4 0
3 years ago
#1. A 30 inch wire is bent into a scalene triangle. Its median side is 2 inches longer than
aivan3 [116]

Answer: the length of the longest side is 13 inches

the length of the of the median is 12 inches

the length of the of the smallest side is 5 inches

Step-by-step explanation:

Let x represent the length of the of the longest side of the scalene triangle.

Let y represent the length of the of the median side of the scalene triangle.

Let z represent the length of the of the smallest side of the scalene triangle.

The formula for the perimeter of a triangle is the sum of the length of each side. If the 30 inch wire is bent into a scalene triangle, the perimeter would be 30 inches. it means that

x + y + z = 30 - - - - - - - - - - 1

Its median side is 2 inches longer than twice its shortest side. This means that

y = 2z + 2

2z = y - 2

z = y/2 - 1

Its longest side is one inch longer than its median side. This means that

x = y + 1

Substituting x = y + 1 and z = y/2 - 1 into equation 1, it becomes

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Multiplying through by 2, it becomes

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y = 12

Substituting y = 12 into x = y + 1,

x = 12 + 1 = 13

Substituting y = 12 into z = y/2 - 1, it becomes

z = 12/2 - 1 = 6 - 1 = 5

8 0
3 years ago
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