Answer:
Hi!
Around 2208.97 dollars
Step-by-step explanation:
A=P(1+r/n)^nt This is the compound interest rate equation.
According to the problem, Principal is 2000 with annual rate of 2.5%, it was being compounded semiannually(twice a year).
Thus,
P=2000. r/n=2.5%/2 nt=2*4, 8
A=2000(1+0.0125)^8
A=2208.97
Answer:
Step-by-step explanation:
Let x represent the number of batches of soap that Lilth makes.
Let y represent the number of batches of lotion that Lilth makes.
It takes her 20 minutes(20/60 = 1/3 hours) to make a batch of soap and 35 minutes(35/60 = 7/12 hours) to make a batch of lotion. Lilth has 20 hours available to make soap and lotion. This means that
x/3 + 7y/12 = 20
4x + 7y = 240- - - - - - - - - - -1
The cost of producing each batch are $5 for the soap and $15 for the lotion. The materials to make the soap and lotion must cost at most $325. This means that
5x + 15y ≤ 325 - - - - - - - - -2
4x = 240 - 7y
x = (240 - 7y)/4
Substituting
5(240 - 7y)/4 + 15y ≤ 325
(1200 - 35y)/4 + 15y ≤ 325
1200 - 35y + 60y ≤ 1300
25y ≤ 1300 - 1200
25y ≤ 100
y ≤ 100/25
y ≤ 4
4x + 7 × 4 = 240
4x + 28 = 240
4x = 212
x = 212/4 = 53
Therefore, the solution (53, 4) means that she would make at most 53 batches of soap and at most 4 batches of lotion
Answer:
31 in sq
Step-by-step explanation:
The interior shape is inside the exterior shape
first get the area of the big shape
9 times 15 = 135 in sq
now get the area of the interior shape:
8 times 13 = 104 in sq
now subtract interior shape from exterior
135 - 104 = 31 in sq
that's the shaded part
Answer:
2635.875pounds
Step-by-step explanation:
Converting all the units to pounds for unit consistency. Let's convert
1 1/4tons horse weight and 15ounce water bottle to pounds.
According to the conversion;
1 ton = 2000pounds
1 1/4 tons = (2000×5/4)pounds = 2500pounds
Similarly for the conversion of ounce to pounds;
1 ounce = 0.625pound
15 ounces of water bottle = (0.625×15)pounds
= 9.375pounds
The total weight of the horse, rider, and items in total will give;
2500pounds horse + 110pounds person + 9.375pounds water bottle + 16.5pounds basket
= 2635.875pounds
Surface Area=2(4x3)+2(3x6)+2(6x4)
108 ft²
