Answer:
- $8000 at 1%
- $2000 at 10%
Step-by-step explanation:
It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.
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<h3>setup</h3>
Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...
0.10x +0.01(10000 -x) = 280
<h3>solution</h3>
Simplifying gives ...
0.09x +100 = 280
0.09x = 180 . . . . . . . subtract 100
x = 2000 . . . . . . divide by 0.09
10000 -x = 8000 . . . . amount invested at 1%
<h3>1.</h3>
$8000 should be invested in the 1% account
<h3>2.</h3>
$2000 should be invested in the 10% account
Answer:84
Step-by-step explanation:
Set up a proportion
36/150 =x/350
Cross multiply then divide
Answer:
22.5 cm
Step-by-step explanation:
In the figure attached the graph of the problem can be seen.
Given the triangles are similar then the next proportion must be satisfied:
13.5/9 = 18/12 = x/15 = 1.5
Isolating x, we get:
x/15 = 1.5
x = 1.5*15
x = 22.5 cm
This isn't my work. Thanks to jbiain.
The slope of the line parallel to I is 1/2
Answer:
∠ MPQ = 125°
Step-by-step explanation:
∠ LMN and ∠ MPQ are corresponding angles and are congruent , so
5x = 3x + 50 ( subtract 3x from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
Then
∠ MPQ = 3x + 50 = 3(25) + 50 = 75 + 50 = 125°
