Answer:
$8950.37
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), in which P is the initial amount of money (the principal), r is the interest rate as a decimal fraction, n is the number of times per year that interest is compounded, and t is the number of years.
Here we have A = $11,000, n = 2, r = 0.07 and t = 3, and so:
$11,000 = P(1 + 0.07/2)^(2*3), or
$11,000 = P (1.035)^6
$11,000 $11,000
Solving for P, we get P = ---------------- = ------------- = $8950.37
1.035^6 1.229
Depositing $8950.37 with terms as follows will result in an accumulation of $11,000 after 3 years.
Answer:
She can invite 109 guests and be right on top of budget. If she wants to spend less than her budget though she can only invite 108 people.
Step-by-step explanation:
First you have to subtract 5,748 - 2,478 which is 3270. Next you have to divide 3270 by 30 because each person costs 30 dollars. 3270 divided by 30 is 109.
I hope this helps! Please mark me brainliest if I am correct! Have a nice day!
Answer:
$50,112. Increase is $2,112
Step-by-step explanation:
1st way. $48,000 x 1.044 = $50,112. 1.044 is the same thing as saying 104.4% of the total price in decimal form, which is what the new price would be when adding 4.4% to the 100% of the original price. To get the amount of increase just find the difference in the two. $50,112-$48,000 = $2,112
2nd way. $48,000 x .044. = $2,112 .044 is 4.4% in decimal form. So you found the increase here. Add the increase to the original price. $48,000 + $2,112 to get the new price of $50,112.
Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
Answer:
.375
Step-by-step explanation:
plug it into calc.