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2 years ago

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Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers

s and t such that 8=102⋅s+72⋅t . There are integers s and t such that 1=102⋅s+72⋅t . There are integers s and t such that 6=102⋅s+72⋅t .

1 answer:

LekaFEV [45]2 years ago

3 0

Answer:

Step-by-step explanation: true

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$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou

ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

$2\%=\frac{2}{100}=0.02$

Upon substituting our given values in compound interest formula we will get,

$A=\$53,000(1+\frac{0.02}{1})^{1*4}$

$A=\$53,000(1+0.02)^{4}$

$A=\$53,000(1.02)^{4}$

$A=\$53,000*1.08243216$

$A=\$57368.90448\approx \$57,369$

Therefore, an amount of $57,369 will be in the account after 4 years.

3 0

2 years ago

Brad buys a pack of 12 bottles of energy drink for £9.25 he then sells all bottles for £1 each. Work out brads percentage profit

docker41 [41]

Brad's profit was 30%

Further explanation:

Profit is the money someone earns on selling a product on more than its actual cost.

The formula for profit is:

$Profit= Selling\ price-Purchase\ price$

Given

Purchase price of energy drinks = £9.25

Selling price of one bottle=£1

Selling price of 12 bottles=1*12=£12

Profit= Selling Price - Purchse price

=12-9.25

=£2.75

Brad's profit was £2.75

Now,

Profit percentage= (Profit/Purchase Price)*100

=(2.75/9.25)*100

=0.30*100

=30%

Brad's profit was 30%

Keywords: Profit, loss

Learn more about profit and loss at:

#LearnwithBrainly

3 0

2 years ago

The cost for traveling in tina's taxi is 9 pence per 100m

lora16 [44]

Answer:

1405.8 pence fare

Step-by-step explanation:

First we have to change meters into km by dividing the distance by 1000

here we have:

Fare: 9 pence

Distance: 100m/1000 = 0.1 km

when it was

0.1 km -----------> 9 pence fare

if 1 km ------------> 9/0.1 fare

if 15.62 ------------> 9*15.62/0.1

15.62 km ----------> 1405.8 pence fare.

4 0

2 years ago

A sunflower grows 8 feet in 92 days. Assuming that it grows at a constant

Yuki888 [10]

Answer:

69 days

Step-by-step explanation:

Given that sunflower grows at constant rate.

Let the rate of growth be x feet per day. It means sum flower grows x feet every day.

in 1 day plant grows x feet,

so in 92 days plant will grow 92*x feet

In 92 days the growth of plant will be = rate of growth *92 = 92*x = 92x feet

But given that A sunflower grows 8 feet in 92 days

so, 92x will be same as 8 feet.

lets put it in equation

92x =8 feet

x = 8/92 = 2/23

Thus, rate of growth of sunflower plant is 2/23 feet per days.

it means it grows 2/23 feet every day.

Let number of days taken to grow 6 feet be y days

in 1 day plant grows 2/23 feet feet,

so in y days plant will grow 2/23*y feet

In y days the growth of plant will be = rate of growth *y= (2/23)*y = 2y/23 feet

But 2y/23 should be equal to 6 feet

2y/23 = 6

Multiplying both side by 23

2y/23 * = 6 *23

=> 2y =138

dividing both side by 2

2y/2 =138/2

=> y = 69

Thus, it will take 69 days for sunflower to grow 6 feet.

4 0

2 years ago

The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employme

Anna35 [415]

Answer:

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

Step-by-step explanation:

The proportion is the number of desired outcomes divided by the number of total outcomes.

The percentage is the proportion multiplied by 100.

In this question:

210 employees with 8 of more year.

Of those, 64 have the email as their preferred method of communication.

64/210 = 0.3048

0.3048*100 = 30.48%

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

3 0

2 years ago

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