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3 years ago

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.

Mathematics

1 answer:

mash [69]3 years ago

6 0

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

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Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selli

finlep [7]

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

3 0

2 years ago

Chesapeake Pizza prepares pizzas with as many as

postnew [5]

Hope I’m not as late but the cost per topping is 80 cents.

4 0

3 years ago

Read 2 more answers

Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $

melomori [17]

Answer:

Nathan: 2x+30

Olivia: 4x+15

Step-by-step explanation:

x is the number of weeks

Nathans account is as follows

2x+30

(2 dollars a week plus the 30 dollars already there)

Olivia's account is as follows

4x+15

(4 dollars per week plus the 15 already in there)

4 0

2 years ago

Could you help me with these?

Sati [7]

Step-by-step explanation:

Molly should have multiplied three first so that it would have been

x + 6 + 3x + 12

4x + 18

Dylan did not add x to 5x

it should have been

6x - 12

Jose did not multiply 7 and -5

it should have been

x + 3 + 7x - 35

8x - 32

8 0

3 years ago

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

8 0

3 years ago