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Travka [436]
2 years ago
10

10 Y plus 9Y minus 6Y plus 6Y simplified

Mathematics
1 answer:
Katena32 [7]2 years ago
4 0

10 y plus 9 y minus 6 y plus 6 y

=> 10y + 9y - 6y + 6y
= 10y + 9y - 0 = 19y

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How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de
lesantik [10]

Answer:

amount is 1000 × e^{0.08t}

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × e^{rt}    ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × e^{rt}

amount = 1000 × e^{0.08t}

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1  to find principal

rt = 0.08 × 40 = 3.2

amount = principal × e^{rt}

1000000 = principal × e^{3.2}

principal = 1000000 / e^{3.2}

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × e^{rt}

1000000 = 2500 × e^{40r}

take ln both side

ln e^{40r} =  ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

5 0
3 years ago
A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9
kvasek [131]

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

6 0
3 years ago
URGENT!! Please help if you can!!
Leviafan [203]

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

3 0
3 years ago
Read 2 more answers
Alexis has 32 2/5 ounces of beads. How many necklaces can she make if each uses 2 7/10 ounces of beads?
love history [14]
32 2/5 ÷ 2 7/10 let's turn above into improper fractions: 32 2/5 ----> 162/5 2 7/10 -----> 27/10 so, 162/5 ÷ 27/10 -------> 162/5 * 10/27 = 12 necklaces
6 0
3 years ago
Read 2 more answers
I need help<br> On this question
Lyrx [107]
Answer:
B-28+19m

Explanation:
3 0
3 years ago
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