All categories

3 years ago

Karl invests $35,000 for 8 years in an account paying 7% compounded daily. Find

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer:

principal (p)=$35000

time(t)=8years

rate ( r)=7%

Step-by-step explanation:

compounded amount(c.a)=p((1+r/100)^t )=$35000((1+7/100)^8)=$60136.5
compound interest gain=$60136.5-$35000=$25136.5
Karl gain interest in 1 year=$35000((1+7/100)-1)=$2450
gain % in 1 year=$2450/$25136.5×100%=9.74%

You might be interested in

What is the 20th term of the sequence that begins -5,15,-45, 135. ?

larisa [96]

The 20th term in the sequence should be 5811307335.
Hope I didn't mess up for your sake

6 0

3 years ago

Which graph represents a function with direct variation?

Elena L [17]

Answer:

Second graph with straight diagonal lines

Step-by-step explanation:

The second graph with straight diagonal lines represents the direct variation

The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.

Hence, If value of variable A increases, then value of variable B will also increase

5 0

3 years ago

X ^3 + 6x^2 +12x+8 ÷(x+2)

Doss [256]

X^2+4x+4 and there is no remainder

4 0

3 years ago

Read 2 more answers

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

3 years ago

20 points !!! -3/8x-20+2x>6

Semenov [28]

Answer:

$x > 16$

Step-by-step explanation:

$- \frac{3}{8} x -20+2x>6$

Add 20 to both sides:

$- \frac{3}{8} x + 2x > 26$

Multiply 8 on both sides:

$- 3x + 16x > 208$

$13x > 208$

Divide by 13 on both sides:

$x > 16$

3 0

3 years ago

Read 2 more answers