Answer:
$755.80
Step-by-step explanation:
Determine the compound amount first and then subtract the principal from it, to find the amount of interest.
The compound amount formula is A = P (1 + r/n)^(nt), where
P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).
We get:
A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.
The compound amount is $2934.80. Subtracting the $2179 principal results in the interest earned: $755.80.
Answer:
Step-by-step explanation:
A quick way to divide by 0.5 or ½ is to double the number (or multiply number by 2). The reason for this is that two halves go into a whole.
Answer:
The value of x is 5.
The value of y is 4.
Step-by-step explanation:
From the figure, the lengths of the lines with equal number of markings are equal.
So, we will have the length of 7x - 4 = 31.
We solve for 'x'.
We get: 7x = 35
⇒ x = 5
Similarly, 4y + 8 = 24
⇒ 4y = 24 - 8
⇒ 4y = 16
⇒ y = 4
Therefore, the value of x = 5 and y = 4.
Hence, the answer.
<h3><u>Given</u><u> </u><u>points</u><u>:</u><u>-</u></h3>
We know that
Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope 
turns into 
and is then multiplied by -1 to become 
which can be simplified down to: 
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
Substitute in our slope and point values:
Now solve for y:
Then you will find that line 
runs perpendicular to 
and intersects point (2,2).
