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
lianna [129]
2 years ago
8

Arvin has $10000 to invest. He invests part in a term deposit paying 5%/year, and the remainder in Canada savings bonds paying 3

.4%/year. At the end of the year, he earned simpler interest of $413. How much did he invest at 5%/year?
Mathematics
1 answer:
Delicious77 [7]2 years ago
8 0

Answer:

$4,562.5

Step-by-step explanation:

The amount Arvin has to invest, P = $10,000

The interest paid on the investment in the term deposit = 5%/year

The interest paid om the investment in Canada savings bonds = 3.4%/year

The amount Arvin earned at the of the year as simple interest, A = $413

Let, <em>x</em>, represent the amount Arvin invested in the term deposit and let, <em>y</em>,<em> </em>represent the amount he invested in Canada savings bonds, we can get the following system of equations

x + y = 10,000...(1)

0.05·x + 0.034·y = 413...(2)

Making <em>y</em> the subject of equation (1) and substituting the value in equation (2), we get;

From equation (1), we get, y = 10,000 - x

Plugging the above value of <em>y</em> in equation (2) gives;

0.05·x + 0.034 × (10,000 - x) = 413

∴ 0.05·x - 0.034·x + 340 = 413

x = (413 - 340)/(0.05 - 0.034) = 4,562.5

Therefore, the amount Arvin invested in the term deposit at 5%, x = $4,562.5

<em>(y = 10,000 - x</em>

<em>∴ y = 10,000 - 4,562.5 = 5,437.5</em>

<em>The amount Arvin invested in Canada savings bonds, y = $5,437.5.)</em>

You might be interested in
Simplify: 5(3x -4) - 6( 4 - 3x)
VikaD [51]

Answer:

33x-44

Step-by-step explanation:

15x-20-24+18x

33x-44

5 0
3 years ago
2<br> 2<br> (2,2)<br> 4<br> 2<br> 2<br> 4<br> x<br> -2<br> (1,-2)What is the slope
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

8 0
3 years ago
a father is now 38 years older than his son. Ten years ago he was twice as old as his son. let x represent the age of the son no
Helga [31]

The present age of father is 86 years old and present age of son is 48 years old

<em><u>Solution:</u></em>

Given that, a father is now 38 years older than his son

Ten years ago he was twice as old as his son

Let "x" be the age of son now

Therefore, from given,

Father age now = 38 + age of son now

Father age now = 38 + x

<em><u>Ten years ago he was twice as old as his son</u></em>

Age of son ten years ago = age of son now - 10

Age of son ten years ago = x - 10

Age of father ten years ago = 38 + x - 10

Then we get,

Age of father ten years ago = twice the age of son ten years ago

38 + x - 10 = 2(x - 10)

28 + x = 2x - 20

2x - x = 28 + 20

x = 48

Thus son age now is 48 years old

Father age now = x + 38 = 48 + 38 = 86

Thus present age of father is 86 years old and present age of son is 48 years old

7 0
3 years ago
I did the first one I need help on this that’s all
Alenkasestr [34]

Answer:

m<A = 70 deg

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.

m<A + m<B + m<C = 180

5x - 25 + 2x + 10 + 3x + 5 = 180

10x - 10 = 180

10x = 190

x = 19

m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70

Answer: m<A = 70 deg

6 0
3 years ago
Read 2 more answers
How to find only f on a graph that defines a function
puteri [66]

Answer:

Read Below

Step-by-step explanation:

we can represent a function using a graph. Graphs display many input-output pairs in a small space. The visual information they provide often makes relationships easier to understand. We typically construct graphs with the input values along the horizontal axis and the output values along the vertical axis.

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular

x

value. The

y

value of a point where a vertical line intersects a graph represents an output for that input

x

value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that

x

value has more than one output. A function has only one output value for each input value.

3 0
3 years ago
Other questions:
  • Cody bought two burgers and two
    5·1 answer
  • I need help on number 11 and 18 on front of The page please Mean Median Mode and range please Thank you
    12·1 answer
  • WILL GIVE 20 POINTS
    7·2 answers
  • The area of a parallelogram is 60 feet the height 5 feet how long is the base
    12·1 answer
  • Can you help me because I’m stuck!
    11·1 answer
  • If the legs of a right triangle are 3 and 6, what is the length of the hypotenuse? Round your answer to the nearest thousands if
    5·2 answers
  • Which system of equations has no solutions
    12·2 answers
  • How many small cubes are needed to make the large figure shown below?
    5·1 answer
  • If y^3=64,what is y?
    15·1 answer
  • Could anyone pls help me with this geometry question? :)<br><br> thank you soo much for the help :)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!