1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
3 years ago
7

Mr. May invested $21,000, part at 8% and the rest at 6%. If the annual income for from both investments were equal find the amou

nt invested at each rate
Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer: the amount of money invested at the rate of 8% is $9000

the amount of money invested at the rate of 6%. Is $12000

Step-by-step explanation:

Let x represent the amount of money invested at the rate of 8%.

Let y represent the amount of money invested at the rate of 6%.

Mr. May invested $21,000, part at 8% and the rest at 6%. This means that

x + y = 21000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time

Considering the investment at the rate of 8%,

P = x

R = 8

T = 1

I = (x × 8 × 1)/100 = 0.08x

Considering the investment at the rate of 6%,

P = y

R = 8

T = 1

I = (y × 8 × 1)/100 = 0.06y

If the annual income from both investments were equal, it means that

0.08x =0.06y - - - - - -1

Substituting x = 21000 - y into equation 1, it becomes

0.08(21000 - y)=0.06y

1680 - 0.08y = 0.06y

0.06y + 0.08y = 1680

0.14y = 1680

y = 1680/0.14 = 12000

Substituting y = 12000 into

x = 21000 - y

x = 21000 - 12000

x = 9000

You might be interested in
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
andre [41]

Answer:

60 yards

Step-by-step explanation:

300 = 2(30 + w) + 2(w)

300 = 60 +2w + 2w

300 = 60 + 4w

240 = 4w

60 = w

5 0
2 years ago
The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui
mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

s(t) = -16t^2+v_0t+s_0

Where,

s_0 = initial height of the object,

v_0 = initial velocity of the object,

Here,

s_0=400\text{ feet}

v_0=35\text{ feet per sec}

Hence, the height of the ball after t seconds,

s(t)=-16t^2+35t+400

When s(t) = 0,

\implies -16t^2+35t+400=0

t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}

t=\frac{-35\pm \sqrt{1225+25600}}{-32}

\implies t\approx -4.02\text{ or }t\approx 6.21

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0
3 years ago
URGENT PLEASE HELP !!!!!
Mumz [18]

Answer:

Let P represent the number of pies sold and J represent the number of juices sold.

a)

The first equation for the sum of the sales:

P + J = 79

P = 79 - J

Next, for the sum of the amounts earned:

1.65P + 1.36J = 118.17

Substituting P,

1.65 (79 - J) + 1.36J = 118.17

J = 42

Using this value of J,

P = 79 - 42

P = 37

b)

Mr. Sanchez's class earned: 1.65 x 37 = $61.05

Mr. Kelly's class earned: 1.36 x 42 = $57.12

So Mr. Sanchez's class earned more money.

c) Mr. Sanchez's class earned:

61.05 - 57.12

= $3.93 more than Mr. Kelly's class

Step-by-step explanation:

:)

4 0
3 years ago
The price of gas has been increasing over the last month. Renee believes there is a positive correlation between the number of p
snow_tiger [21]

Step-by-step explanation:

To find a rat of change (ROC) you take the two numbers and the two prices and subtract them to make a ratio<u>:</u>

<u>_</u><u>_</u><u>_</u><u>_</u><u>6</u><u>-</u><u>3</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u> = <u>_</u><u>_</u><u>_</u><u>3</u><u>_</u><u>_</u><u>_</u>

$2.56-$2.44 = $2.12

The reduce to the lowest number (the 3 to a 1)

<u>_</u><u>_</u><u>3</u><u>_</u><u>_</u><u>_</u> = <u>_</u><u>_</u><u>_</u><u>1</u><u>_</u><u>_</u>

$2.12 $0.71

The ROC is $0.71

8 0
3 years ago
Read 2 more answers
The teacher said we could estimate but give a good reason for that estimate​
lyudmila [28]

Answer:

$11, even if you do work a job thats not that hard you should still be making a good amount of money

Step-by-step explanation:

I just used my opinion

5 0
3 years ago
Other questions:
  • Which ordered pair is a solution to this system of equations. 7x+5y=59 and 3x-9y=159
    11·2 answers
  • You want to put a fence around your yard that is 35 feet by 41 feet. How much fencing do you need?
    10·2 answers
  • if there were 161,809,242 females in the US in 2014 and 5.9% were diagnosed with diabetes, how many females had been diagnosed?
    6·2 answers
  • 1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many p
    7·2 answers
  • PLEASE ANSWER ASAP !!!!! WILL GIVE BRAINLIEST
    13·2 answers
  • Will mark BRAINLIEST
    10·2 answers
  • Helppppppp pleaseeee!!!!!!!!!!!!!!!
    10·1 answer
  • Which shows the use of the commutative property?
    8·2 answers
  • Plss join really bored <br><br> ID 852 183 4117 <br> code WKJV5p
    7·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!