Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?
Answers
Answer:
$3300 at 4%
$11700 at 7%
Step-by-step explanation:
Total investment = $15000
Total simple interest on investment = $951
Investment A:
Rate = 4% =0.04
Investment B:
Rate = 7% =0.07
Simple interest (S. I) = principal * rate * time
(S. I on investment A + S. I on investment B)
Let principal amount in investment A = A
principal amount in investment B = B
(A * 0.04 * 1) + (B * 0.07 * 1) = $951
0.04A + 0.07B = $951 - - - - (1)
A + B = $15000 - - - - (2)
from (2)
A = 15000 - B
Substitute A = 15000 - B into (1)
0.04(15000 - B) + 0.07B = 951
600 - 0.04B + 0.07B = 951
600 + 0.03B = 951
0.03B = 951 - 600
0.03B = 351
B = 351 / 0.03
B = $11700
From (2)
A + B = $15000
A + $11700 = $15000
A = $(15000 - 11700)
A = $3300
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Whats the unit rate of 5.76
B. 5/12
C. 12/-5
D. -5/12
Answers
2x + y = 7
3x + 5y = 14
Answers
You have the equations...
2x+y=7
and
3x+5y=14
To be able to even solve for any of the variables...multiply the equations by...2...and..3...
2x+y=7----*3--> 6x+3y=21
and
3x+5y=14-----*2--->6x+10y=28
Thus,
6x+3y=21
-
6x+10y=28
=========
-7y=-7
y=1
Now, plug y back into any of the original equations....we'll use 2x+y=7 in this case....
2x+(1)=7
2x+1=7
-1 -1
2x=6
x=3
Thus, the point of intersection for these two equations is (3,1)
B.8
C.13
D.17
Answers
Answer:
B.8 is the answer
Answers
36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.
B. -318 meters
C. 0 meters
D. +318 meters
Answers
Step-by-step explanation:
I believe it will be B. -318 meters
not entirely sure but that's what I think so hope this help and sorry if I'm wrong
B. 52.5 km
C. 50 km
D. 150 km
Answers
Answer:
C. 50 km
Step-by-step explanation:
The scale on the map is,
1 cm : 20 km,
That is, the ratio of the scaled distance and actual distance =
Let x be the actual distance between the two cities which are 2.5 cm apart on the map,
So, the ratio of scaled distance and actual distance =
Hence, the actual distance between the cities is 50 km.
Option 'C' is correct.
1 cm -------- 20 km
2,5 cm ----- x km
----------------------------
x = 2,5 *20/1 = 50 km
x = 50 km so choice C. is righ,correct sure