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goldfiish [28.3K]

3 years ago

13

A quantity with an initial value of 270 grows exponentially at a rate of 0.1% every 10 decades. What is the value of the quantit

y after 23 years, to the nearest hundredth

1 answer:

NARA [144]3 years ago

6 0

Answer:

270.06

How to solve:

Write a function:

f(t)=270(1+0.001)^{t/10}

23 years→23/10→2.3 decades

Plug in t=2.3

f(2.3)=270(1+0.001)^{2.3/10}

=270.062076106

≈270.06

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The mean of six numbers is 10. When

vivado [14]

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

5 0

3 years ago

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Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a

bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

= $\frac{25}{100}\times m$

= $\frac{m}{4}$

Remaining marbles with Williams = m - $\frac{m}{4}$

= $\frac{3m}{4}$

He gave marbles to his brother = $\frac{1}{6}$ th of the remaining marbles

= $\frac{1}{6}\times \frac{3m}{4}$

= $\frac{m}{8}$

Remaining marbles after giving marbles to his brother = 120

Therefore, $\frac{3m}{4}-\frac{m}{8}=120$

$\frac{6m}{8}-\frac{m}{8}=120$

$\frac{5m}{8}=120$

m = $\frac{120\times 8}{5}$

m = 192

Number of marbles with Williams at the starting = 192

5 0

3 years ago

Flora is making salsa for a party. Every 1 cup of chopped tomatoes makes 2 3/4 cups of salsa. She uses 1 2/3 cups of tomatoes. H

pogonyaev

Answer:

4 $\frac{7}{12}$ cups of Salsa.

Step-by-step explanation:

Flora is making Salsa for a party.

Every 1 cup of chopped tomatoes makes 2 $\frac{3}{4}$ = $\frac{11}{4}$ cups of Salsa

She uses 1 $\frac{2}{3}$ = $\frac{5}{3}$ cups of tomatoes

1 $\frac{2}{3}$ cups of tomatoes makes:

$\frac{5}{3}$ × $\frac{11}{4}$ ÷ 1 = $\frac{55}{12}$ = 4 $\frac{7}{12}$ cups of Salsa.

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3 years ago

ky has 3 times more books than grant and grant has 6 fewer books than Jaime if the total combined number of books is 176 how man

sergiy2304 [10]

Number of books each of them have:

Jaime: x
Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24 / + 24 (both sides)
5x = 200 / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)

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3 years ago

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2 years ago

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