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Ahat [919]
3 years ago
13

Alice invests $5000 in two certificates of deposit; the interest on the first certificate is 4%, and the interest on the second

is 5%. Let's denote the amount she invests in the first certificate by x. Then the amount she invests in the second certificate is
.
The interest she receives on the first certificate is



,
and the interest she receives on the second certificate is



.
So a function that models the total interest she receives from both certificates is
y =


.
Mathematics
1 answer:
lesantik [10]3 years ago
8 0
Free points sorry 263428
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Plz help me out with this
nadya68 [22]

Given,

  • HK is the perpendicular bisector of GJ. So, <u>GK = KJ</u>.
  • GK = 2x + 10
  • KJ = 3x - 15

_______________

Find KJ .

_______________

First find the value of x

\sf \: GK \:  = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x =  - 15 - 10 \\ \sf - x =  - 25 \\  \sf \: -  >   \boxed{\bf \: x = 25}

Now, find the value of KJ.

\sf3x - 15 \\  \sf= 3(25) - 15 \\  \sf=7 5 - 15 \\     = \boxed{\bf \: 60}

-> The value of KJ is <u>6</u><u>0</u><u>.</u>

_______________

Hope it helps.

RainbowSalt2222

6 0
3 years ago
Read 2 more answers
A guy wire 30 ft long supports an antenna at a point that is 24 ft above the base of the antenna.
GalinKa [24]
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft
4 0
2 years ago
A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only
Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

P = \frac{n+2}{n+8}

We want P = 0.60. So

0.6 = \frac{n+2}{n+8}

n+2 = 0.6*(n+8)

n + 2 = 0.6n + 4.8

n - 0.6n = 4.8 - 2

0.4n = 2.8

n = \frac{2.8}{0.4}

n = 7

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0
3 years ago
Can someone help with this?
MAXImum [283]
I belive it is the second option!
8 0
2 years ago
Read 2 more answers
construct potential hypotheses or research questions to relate the variables in each of the following examples. also, write a br
Alexxx [7]

<u>Construct potential hypotheses</u><u> or research questions to relate the </u><u>variables </u><u>in each of the following examples - </u>

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and their ability to express what they think about the Act's purpose.

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3 0
1 year ago
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