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
Andrews [41]
3 years ago
9

jose invests money in two simple interests account. he invests twice as much in an account paying 13% as he does in an account p

aying 5%. if he earns $93.00 in interest in one year from both accounts combined how much did he invest altogether​
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

He invested altogether $900

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Jose invests money in two simple interests account

- He invests twice as much in an account paying 13% as he does in

 an account paying 5%

- That means the amount he invested in the account paying 13% is

  twice the amount he invested in the account paying 5%

- He earns $93.00 in interest in one year from both accounts combined

- We need to find how much he invested in each account

- Assume that he invested $x in the account paying 5%

∵ He invested twice as much in an account paying 13% as he does in

   an account paying 5%

∴ He invested $2x in the account paying 13%

- The simple interest <em>I = PRT</em>, where P is the money invested, R is the

  rate of interest in decimal and t is the time of investment

# <u><em>Account paying 13%</em></u>

∵ P = 2x , R = 13/100 = 0.13 , T = 1

∴ I = 2x(0.13)(1)

∴ I = 0.26 x ⇒ (1)

# <u><em>Account paying 5%</em></u>

∵ P = x , R = 5/100 = 0.05 , T = 1

∴ I = x(0.05)(1)

∴ I = 0.05 x ⇒ (2)

∵ He earns $93.00 in interest in one year from both accounts

- Add (1) and (2) and equate the sum by 93.00

∴ 0.26 x + 0.05 x = 93.00

- Add like terms in the left hand side

∴ 0.31 x = 93.00

- Divide both sides by 0.31

∴ x = 300

∴ 2x = 2(300)

∴ 2x = 600

∵ x represents the amount of money invested in the account paying 5%

∴ <em>The amount of money invested in the account of 5% is $300</em>

∴ <em>The amount of money invested in the account of 13% is $600</em>

- The total amount of money he invested is the sum of the money

  he invested in each account [$300 + $600 = $900]

∴ He invested altogether $900

You might be interested in
Find the minimum, maximum, and range for the given set of data.
Zinaida [17]
It’s A

You take the smallest number for min
And largest number for max
then do process of elimination
It can’t be a negative either
7 0
3 years ago
Read 2 more answers
Find the value of x, y, and z in the rhombus below.
Yuki888 [10]

Solution:

<u>It should be noted:</u>

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

<u>Thus:</u>

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

<u>Finding x:</u>

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

<u>Finding y:</u>

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

<u>Finding z:</u>

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31
4 0
2 years ago
Read 2 more answers
A number cube is rolled 14 times and the results are recorded in the table.
Arlecino [84]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
What is 5/12 times 3 in multiply fractions
katrin [286]
Hey there 

5/12 times 3 = 5/4
5/4 is an improper fraction 
so it is changed to <span>= 1  1/4</span>

The answer is 1  1/4

hope this helps you 
4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST-What is the average rate of change of the function on the interval from x = 0 to x = 2?
Musya8 [376]
Average=  f(2)−f(0)/2−0
=62.5−250/ 2-0
<span>= −93.75</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade
    6·1 answer
  • A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is
    6·1 answer
  • 15. A jar contains 6 aqua beads and 4 black beads. If two beads are selected
    5·1 answer
  • How can you write 0.044 as a fraction
    12·1 answer
  • Table: Favorite Subject: Math 6, Science 3, English 4, History 7.
    7·2 answers
  • In ΔRST, the measure of ∠T=90°, the measure of ∠R=56°, and ST = 73 feet. Find the length of TR to the nearest tenth of a foot.
    7·1 answer
  • Estimate the following using general rule.
    15·1 answer
  • What is the radius of a circle with a circumference of 26 meters?
    12·1 answer
  • Channing earns $12.60 per hours at his job. During one week , he worked a total of 26 1/2 hours . He deposited 280.00 in the ban
    5·2 answers
  • Guys I need some help with this question pls!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!