Answer: 6 feet from the pivot point
<u>Step-by-step explanation:</u>
Girl's weight x distance from center = Boy's weight x distance from center
65 (7) = 75x
6.066 = x
The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.
Answer:
Diagram 2= 5
Diagram 3=10
Diagram 4= 15
Diagram 8 would be 35
Step-by-step explanation:
Answer:
8x+3y=-6
Step-by-step explanation:
Convert to slope-intercept form
8x+3y=-6
3y=-8x-6
y=-8/3x-2, The slope is the same, therefore the lines are parallel.
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
Answer:
41 quarts (or 10.25 gal)
Step-by-step explanation:
1 gal = 4 quarts
5 gal = 4 x 5 = 20 quarts
4 gal = 4 x 4 = 16 quarts
hence 4 gal & 3 qts = 16 + 3 = 19 quarts
5 gal + 2 qts + 4gal 3 qts
= 20 quarts + 2 quarts + 19 quarts
= 41 quarts ( = 41/4 = 10.25 gal)
