What is the initial value of the exponential function represented by the table

Write a system<br> of linear inequalities represented by the graph.

Helga [31]

2,3 or 4,1 either one

6 0

2 years ago

Solve for a: a/2 - 2/3 = a + 1/5

ki77a [65]

The answer is 4 if I am correct

3 0

3 years ago

Read 2 more answers

Suzanne is looking at taking out a personal loan. Opportunity Loans is offering her $1600 at 3.45% for 1 year, with interest com

AleksAgata [21]

Step-by-step explanation:

So the general formula for compound interest is $A = P(1+\frac{r}{n})^{nt}$ where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get

Opportunity Loans:

$A = 1600(1+\frac{0.0345}{12})^{(12)(1)}$

$A = 1600(1.002875)^{12}$

$A \approx 1600(1.035)$

$A = \$1,656.08$

Now to find the interest accrued on this loan you simply subtract 1600 from the A or final amount

$Interest=1656.08-1600\\Interest=56.08$

General Loans:

$A = 1600(1+\frac{0.042}{4})^{(4)(1)}$

$A = 1600(1.0105)^4$

$A \approx 1600(1.042)$

$A = 1,668.27$

To find the interest we do the same thing we did in the previous problem

$interest = 1668.27-1600\\interest=68.27$

Opportunity loans has the least amount of interest after a year

8 0

2 years ago

Ann has the 5 newest music CD's which is 3 less than twice the amount that Bob has.

kupik [55]

We can write it down as:

5 = 2x - 3 / + 3 (both sides)
8 = 2x / : 2 (both sides)
x = 4

Bob has 4 CDs. Let's check it:

5 = 2 * 4 - 3
5 = 8 - 3
5 = 5

Correct.

8 0

3 years ago

A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 50 minutes of dyeing

lina2011 [118]

Answer: 9 rolls of cloth A and 44 roles of cloth B

Step-by-step explanation:

Let x represent the number of rolls of cloth A that can be dyed and dried.

Let y represent the number of rolls of cloth B that can be dyed and dried.

A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that

50x + 55y = 2880- - - - - - - -1

A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that

45x + 30y = 1740- - - - - - - -2

Multiplying equation 1 by 45 and equation 2 by 50, it becomes

2250x + 2475y = 129600

2250x + 1500y = 87000

Subtracting, it becomes

975y = 42600

y = 42600/975

y = 44

Substituting y = 44 into equation 1, it becomes

50x + 55 × 44 = 2880

50x + 2420 = 2880

50x = 2880 - 2420

50x = 460

x = 460/50

x = 9

4 0

3 years ago