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max2010maxim [7]
3 years ago
8

Elton opened a compound interest savings account with $5500 in principal and an interest rate of 2.8%. If interest is compounded

quarterly, how much is in the account after 4 years?
interest compounded quarterly: A = P (1 + r/4)4t

A.
$6149.42

B.
$6142.36

C.
$649.42

D.
$642.36
Mathematics
1 answer:
dusya [7]3 years ago
4 0
Since it's paid quarterly, then the yearly interest of 2.8% should be divided by 4.
Since the payment is I/4th of the year, then the number of payment will 4 times more:
A= P(1+i)ⁿ, and for a period of 4, A = P(1+i/4)⁴ⁿ

A=5500(1+0.028/4)⁴ˣ⁴ = 5500(1+0.028/4)¹⁶ = $6149.42 (answer A)
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The price of gas was $2.49 last month. This month, gas costs $2.79. What is
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2.79 - 2.49 = .30

then divide the amount increased by the original number and multiply by 100

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3 years ago
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On a road, you take a random sample of the speed of 40 cars with a speed detector and determine that their average speed is 49 m
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B) because since the 40 cars averaged 49 mph it means that, that is the number that most cars have around the same speed of
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4 years ago
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Which expression can be used to find the surface area of the following square pyramid
andreyandreev [35.5K]

Answer:

36+15+15+15+15

Step-by-step explanation:

For the surface area we need to add up all the areas in the pyramid:

  • area of the base
  • area of the triangle sides (there are 4 triangles)

Area of the base:

the base is a square, and the area of a square is given by:

a_{base}=l^2

where l is the length of the side: l=6, thus:

a_{base}=(6)^2\\a_{base}=36

Area of the triangles:

one triangle has the area given by the formula:

a_{triangle}=\frac{b*h}{2}

where b is the base of the triangle: b=6

and h is the height of the triangle: h=5, thus we have the following:

a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15

the expression that represents the surface area of the pyramid is:

a_{base}+area_{triangle}+area_{triangle}+area_{triangle}+area_{triangle}

substituting our values:

36+15+15+15+15

which is option B

7 0
3 years ago
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The surface area of the three dimensional figure is ____ square centimeters
Svetradugi [14.3K]

Answer:

536.6

Step-by-step explanation:

First I found the area for the rectangles which is (15x10) multiplied by 3.

Then I found the area for the triangles which is A=(1/2)(8.66)(10). Which equals 43.3, then multiplied that by 2.

Add all the areas together (150)(3)+(43.3)(2)=536.6

3 0
4 years ago
Students deliver catalogues and leaflets to houses. One day they have to deliver 480 catalogues and 1520 leaflets. Each student
solniwko [45]

Answer:

7 students are needed

Step-by-step explanation:

Consider the complete question is,

"Students deliver catalogues and leaflets to houses.One day, they have to deliver 480 C and 1520 L.Each student can deliver either 15 C or 80 L in 1 hour.Each student's can only work for 8 hours.  Work out the minimum number of students needed."

Since, number of catalogues have to deliver = 480,

Number of leaflets have to deliver = 1520,

∵ Each student can deliver 15 catalogues or 80 leaflets in one hour.

Number of hours for working = 8,

So, the catalogues delivered by each student in a day = 15 × 8 = 120,

Similarly, the leaflets delivered by each student in a day = 80 × 8 = 640

Thus, the number of students required to deliver 480 catalogues

=\frac{\text{Total catalogues}}{\text{catalogues delivered by each student in a day}}

=\frac{480}{120}

=4

Again, the number of students required to deliver 1520 leaflets

=\frac{\text{Total leaflets}}{\text{leaflets delivered by each student in a day}}

=\frac{1520}{640}

=2.375

≈ 3 students ( we would approximate above )

Hence, the minimum students required = 4 + 3 = 7

4 0
4 years ago
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