A college used a $5,000 gift from an alumnus to make two student loans. The first was at 5% annual simple interest to a nursing student. The second was at 7% annual simple interest to a business major. If the college collected $310 in interest the first year, how much was loaned to each student?
Answers
Let x the amount allocated to the 1 student
Let y the amount allocated to the 2 student
x+y=5000
5/100 *x +7/100 * y =310
==>
5x+7y=31000 (1)
x+y=5000 (2)
(1)-5*(2)==>
2y=6000 ==>y=3000 and x=5000-3000=2000
Proof:
2000+3000=5000
5/100*2000+7/100*3000=100+210=310
Related Questions
Im new at this and im still kinda confused.
Simplify -7 + [5 + (-12)÷3] -6 -34/3 -8
The cost of a student ticket to the school play is $7.Write an equation that correctly relates to the total cost for a particular number,of student tickets purchased.Identify the independent and dependent variable.P.S: There is no answer choices this question is where you have to explain how you got the answer.
What is the mean absolute deviation of 13,15,9,35,25
2r² – 25r – 50
2r² – 50
3r² + 5r + 50
2r² + 15r – 50
Answers
2. -21r-50
3. 4r-50
4. 14r+50
5. 19r-50
Answers
Answer:
- 29° and 61°
Step-by-step explanation:
Complementary angles sum up to 90°
Given
- P + M = 90°
- P = 2M + 3°
Substituting P in the first equation
- 2M + 3° + M = 90°
- 3M = 87°
- M = 29°
Then
- P = 90° - 29° = 61°
GiveN:
- Angle P is 3 more than twice angle M.
- The two angles are complementary.
ToFinD:
- Measure of the two angles.
Step-wise-StepExplanation:
Complementary angles are angles that add upto 90°. They need not to be adjacent Always
According to question, Angle P = 2(Angle M) + 3°. And they add upto 90°.
⇒ Angle P + Angle M = 90°
⇒ 2(Angle M) + 3° + Angle M = 90°
⇒ 3 Angle M + 3° = 90°
⇒ 3 Angle M = 87°
⇒ Angle M = 29°
Then, Angle P = 2(29°) + 3° = 61°. Hence, the two complementary angles are 29° and 61°.
A) (-1.5, 4)
B) (1.5, 10)
C) (4, -1.5)
D) (-1.5, -2)
Answers
-2x+y=7
4x-y=-4 +
2x+0y=3
2x=3
divide 2
x=3/2
sub
2x-y=-7
2(3/2)-y=-7
3-y=-7
minus 3
-y=-10
negative 1 times both sides
y=10
(3/2,10)
(1.5,10)
B is ansre
Answers
Transforms into:
y=5/2x+2
Therefore the slope is: 5/2
Answers
Answer:
Box 2 : ( 1,5,3,10,9)
[(5-3)×1]-(10-9)
(2*1)-1 =1
Box 3 : {1,6,2,8,7,4}
(1+6+3 -7)- (8÷4) =
10-7-2 = 1
Answer:
2) 1 · 5 + 9 - 3 - 10 = 1
3) 1 · 8 + 6 - 2 - 4 - 7 = 1
There is no relationship between the variables.
As the age increases, the height increases.
As the age increases, the height decreases.
As the height decreases, the age decreases.
Answers
Answer:
the correct answer is B because if you look at the graph you will see that both are increasing so the answer is as the age increases the height increases
Step-by-step explanation:
Answer:
c
Step-by-step explanation: