Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
Answer:
--- Curved Surface Area
--- Total Surface Area
Step-by-step explanation:
Given
Shape: Cylinder
-- height
--- radius
Solving (a): The curved surface area (CSA)
This is calculated as:

This gives:



Solving (b): The total surface area (TSA)
This is calculated as:

This gives:




<u>ANSWER:</u>
4 batches of cupcakes can be made.
<u>SOLUTION:
</u>
Given, we need
cups of flour for each batch of cupcakes. And we have 17 cups of flour.
We need to find how many batches can be made.
1st way:
We will get the number of batches when we divide the available cups with cups required for one batch.
Available cups = 17 and required cups for one batch =
=
cups
number of batches = 

= 4.857
As the number of batches can’t be fraction, we will neglect the fractional part.
2nd way:
Let the number of batches be x.
Then, cups of flour required for batches must be less than available flour
(x)(
) < 17
(x)(7) < (2)(17)
7x < 34
x < 
x < 4.857
As the number of batches must be an whole number, x becomes 4.
Hence, 4 batches of cupcakes can be made.
Answer:
12+x=12+4=16
3x+y=3*4+7=12+7=19
4y-10=4*7-10=28-10=18
1/2xy=1/2*4*7=28/2=14
Step-by-step explanation:
Answer:

Step-by-step explanation:
First, you must observe the figure attached.
You can identify that:

Then, you can solve for the variable "x" in order to find its value. Then, you get that this is:

You can also identify in the figure that:

Since you know the value of "x", you can substitute it into the equation:

Finally, you must solve for the variable "y" in order to find its value. So, you get:
