Answer:
fh. = 40h + 120, fh. = $200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h
h = 2 hours.
Step-by-step explanation:
The original annual simple interest rate, rounded to two decimal places, is 3.79%
What is the formula for simple interest?
The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time
I=PRT
The first loan:
P=12 850.00
R=r(assume it is r)
T=4 years
I=12 850.00*r*4
I=51400r
The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year
P=3 273.00
R=0.5r( half of the interest on the first loan)
T=0.5 years
I=3 273.00*0.5r*0.5
I= 818.25r
Total interest=51400r+818.25r
Total interest=52218.25r
total interest paid=1 980.00
1 980.00=52218.25r
r=1 980.00/52218.25
r=3.79%
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<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
