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3 years ago

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In 1995 the U.S. federal government debt totaled 5 trillion dollars. In 2008 the total debt reached 10 trillion dollars. Which o

f the following statements about the doubling time of the U.S. federal debt is true based on this information?

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Where are the statements?

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Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7

Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

$t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)$

substitute in the formula above

$2,720=x(0.05*1)+(50,000-x)(0.07*1)$

solve for x

$2,720=0.05x+3,500-0.07x$

$0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000$

$(50,000-x)=\$11,000$

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0

3 years ago

Find the slope of the line through the given points.<br> (6, 1) and (7,-2)

saul85 [17]

Answer:

slope -3

y-intercept 19

Step-by-step explanation:

5 0

3 years ago

Combine like terms.<br><br> - 2/3p + 1/5 - 1 + 5/6p

DaniilM [7]

Answer:

1/6 p -4/5

Step-by-step explanation:

- 2/3p + 1/5 - 1 + 5/6p

When I combine like terms, I put them next to each other.

- 2/3p + 5/6p+ 1/5 - 1

We need to get a common denominator of 6 for the p terms

-2/3 *2/2 p + 5/6 p

-4/6p + 5/6 p

1/6 p

We need to get a common denominator of 5 for the contant terms

1/5 - 1*5/5

1/5-5/5

-4/5

Substituting these in

2/3p + 5/6p+ 1/5 - 1

1/6 p -4/5

7 0

3 years ago

Midpoint of the line segment (-1,6), (-6,5)

zepelin [54]

The answer is:

(-7/2 , 11/2)

5 0

2 years ago

Raychel drove to the mountains last week there was heavy traffic on the way there and on the trip took 12 hours when Raychel dro

nevsk [136]

Suppose that this person drives at r mph going to the mountains, and gets there in 12 hours. Returning, this person drives at (r+20) mph and gets home in 8 hours. We don't know the distance yet, but can solve for the initial speed, r, by setting

d = 12r = (r+20)(8). Solving for r, r=40 mph (going) and (40+20)mph = 60 mph (returning. Since d=12 r, d = (12 hrs)(40 mph) = 480 miles (answer).

4 0

3 years ago