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2 years ago

what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

4 0

Answer:

Hello,

Answer 6

Step-by-step explanation:

$\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\$

The smallest number to be susbtracted is 6

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if a line is perpendicular to each of two intersecting lines at their point of intersection then what is the line

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Line is a perpendicular bisector of the angle

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3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

2 years ago

Read 2 more answers

A total of 17,100 seats are still available for the next hockey game. If 62% of the tickets are sold, how many seats are in the

MrRa [10]

Answer:

We have

seats x ( 62 / 100 ) = (seats - 17,100);

seats x 62 = 100 x (seats - 17,100);

seats x 62 = seats x 100 - 1710000;

1,710,000 = seats x 38;

seats = 1,710,000 ÷ 38;

seats = 45,000;

The correct answer is c. 45,000 seats;

Step-by-step explanation:

6 0

3 years ago

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Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowa

maw [93]

PART A
Coefficient
Coefficient h is 7.50
Coefficient s is 0.20

Variable
h and s

Constant
40

PART B
7.50h + 0.20s + 40
= 7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
= 287.5
She earns $287.5

PART C
Yes, the coefficient of h would change to 9, the rests are still the same. Because she's no longer receive 7.50 per hour, and start earning 9 per hour, so the coefficient should change.
The expression would be
9h + 0.20s + 40

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2 years ago

2. Trouvaughn bought b bags of oranges, which cost 80 cents per bag. If Trouvaughn paid with a

Damm [24]

Amount that trouvaughn paid : $0.80b
ten dollar bill = $10

so $(10-0.80b)

5 0

3 years ago

what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square​

what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square