Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
<u>$61,000=x+y</u>
5%=0.05
7%=0.07
2nd equation
<u>0.05*x+0.07*y=$3,430</u>
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
Answer:
S
Step-by-step explanation:
Segment P shows as time is increasing, distance is also increasing. Which means the cyclist is moving forward at a speed.
Segment Q shows that distance is constant but time is increasing. This means that the cyclist is at rest.
Segment R shows as time in increasing, distance is also increasing. Which means the cyclist is moving forward.
Segment S shows that as time increases, distance decreases to the t-axis [ the point where Segment P started, hence original position]. This shows the cyclist returning to the starting point
Correct answers is Segment S.
If a wheel makes a full turn, it will have traveled the entire distance around that wheel. After 3 revolutions, it should have traveled 3 times its circumfrence.
The circumfrence of a circle is equal to the diameter times pi. (about 3.14)
21 × 3.14 = 65.94 = circumfrence = 1 revolution
3 revolutions = = 65.94 × 3 = D. 197.82 in.
78 i think bc its the only possible way fo get 10 to equal 88 when adding