If the principal is $612 and the rate of interest is 2.85%, what is the amount of interest after eight years?
Answer:
$766.28
Step-by-step explanation:
The equation for interest rate is as follows:
[tex]A = P(1 + r)^t\\[/tex]
A = The total amount
P = Initial amount
R = The interest rate
T = Time
Let's plug everything into the equation that is given in the question:
The initial amount = 612
Interest rate = 2.85
Time = 8 years
[tex]A = 612(1+.0285)^8[/tex]
***Just a reminder we move the decimal over twice when working with percents***
Now, lets solve for the total amount:
[tex]A = 612(1.0285)^8\\A = 612(1.252086602)\\A = 766.28[/tex]
Therefore, after 8 years the principal is $766.28.
I hope this helps!!
If you have any questions feel free to ask!
- Kay :)
Nancy's car travels 300 miles on 12 gallons of gas. How many gallons of gas will she need in order to drive 650 miles?
A triangle has one side that measures 5 units and another side that
measures 7 units. What are two possible lengths for the third side?
Explain why you chose the lengths you did.
Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is between the limits
difference of 2 sides < x < sum of 2 sides, that is
7 - 5 < x < 7 + 5 , then
2 < x < 12
Choose any 2 values between 2 and 12 as third side, so
third side could be 6 or 9 for example
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
darren drove his car 96 miles and used 4 gallons of gasoline . what is the unit rate for miles per gallon
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon
Answer: Darren is getting 24 miles per gallon. That should be your unit rate.
what is the percent change of 44000 to 40000
Answer:
10 percent
Step-by-step explanation:
40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.
Find the exponential equation for the given information. Pls help
Answer:
y = 12 [tex](2.9)^{x}[/tex]
Step-by-step explanation:
The standard form of the exponential function is
y = a [tex](b)^{x}[/tex]
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so
a = 12, then
y = 12 [tex]b^{x}[/tex]
Using (1, 34.8 ) , then
34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12 [tex](2.9)^{x}[/tex]
hey yall I'm bout to post 5 questions in like 3 minutes 100 points plus brainliest but I need step by step explanation plz and thank you
Answer:
what do you mean lol
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
ill be there
factorize 4x^2 - 169y^2
Step-by-step explanation:
4x² - 169y² can be factorised as (2x + 13y)(2x - 13y).
Complete the missing value in the solution to the equation:
8x + x - y = 2x + 12 + 2y
( ,3
Plsssss help!!!!!!
....
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
[tex]\frac{PN}{NL}=\frac{NQ}{NM}[/tex]
[tex]\frac{y}{3}=\frac{3.2}{4}[/tex]
y [tex]=\frac{3.2\times 3}{4}[/tex]
y = 2.4 cm
Which graph shows only a reflection?
Answer:
D BOTTOM RIGHT
Step-by-step explanation:
What is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet?
A 14.2°
B 13.7°
C 14.6°
D
75.8°
The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
given that,
a hill whose slope has a length of 345 feet and rises 87 feet
now, we have to find the angle of elevation of a hill.
so, we get,
perpendicular = 87
hypotenuse = 345
let, the angle of elevation is θ.
we have,
sin θ = 87/345
so, we get,
θ = 14.6°
Hence, The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
To learn more about trigonometric relations click :
brainly.com/question/14450671
#SPJ2
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
C
Step-by-step explanation:
Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]
Fill in the unknown part 2 kg 1 kg how many grams
Answer:
1kg=1000g
2kg=2×1000g
= 2000
Please helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
[tex] \frac{6}{24} = \frac{x}{28} \\ \\ x = \frac{ \cancel6 \times \: 28}{ \cancel{24} \: \: \:\red{\bold {4}} } \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
Given the quadratic equation ax2 + 10x + 2 = 0, determine all values of a that will result in this equation having non-real solutions. Show all work that leads to your answer.
Answer:
a>12.5.
Step-by-step explanation:
you need to look at the discriminant in the quadratic formula:
[tex]b^{2} -4ac[/tex]
coming from the quadratic polynomial
[tex]ax^{2} +bx+c=0[/tex]
In our case, b=10 and c=2, hence, the discriminant is
[tex]10^2-4*a*2 \\100-8a[/tex]
We will obtain non-real values if the discriminant is less than zero.
Therefore, this condition is written as
[tex]100-8a<0[/tex]
and we must solve for a. It yields
[tex]100<8a\\a>\frac{100}{8} \\a>12.5[/tex]
Hence, the answer is a>12.5.
The values of a that will result in this equation having non-real solutions must e greater than 12.5
Given the quadratic equation ax^2 + 10x + 2 = 0
For the equation to have non-real solutions, then b^2 - 4ac < 0
From the given equation;
a = a
b = 10
c = 2
Substitute the given parameters into the formula;
10^2 - 4a(2) < 0
100 - 8a < 0
-8a < -100
8a > 100
a > 12.5
Hence the values of a that will result in this equation having non-real solutions must e greater than 12.5
Learn more here: https://brainly.com/question/1214333
Need help on this ASAP !!!!!!!!!!!! Answer correctly. Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
You have to use ur ruler so u can see what the longest side is, So basically use the ruler and look up the centimetre mark and then it shows you what number is at and whatever the biggest number is is what the longest side is.
e) x(m - n) + 2(m - n).
Answer:
xm-xn+2m-2n
Step-by-step explanation:
hhhhhheeeeeeeellllpppp
Answer:
y = 0.35x + 2.5
Step-by-step explanation:
Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you
Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
Write y – 3 = 23 (x – 2) in standard form. PLEASE HELP BEST ANSWER AND EXPLANATION WILL GET BRAINLIEST!!
Answer:
Y=23x-43
Step-by-step explanation:
Distribute 23 to (x) and (-2) = 23x-46
The bring the -3 the other side
Y=23x-43
On Thursday, a restaurant serves iced tea to 40 of its 140 customers. What
percent of the customers order iced tea?
Answer:
28.6%
Step-by-step explanation:
Fraction: 40/140=2/7=0.2857
Converting it to percentage: 28.6%
Hope this helps!
Answer:
28.6%
Step-by-step explanation:
Try to found the wrong upper case I
I ll iiiiiIIIIIIllllll
hint 50-2=
put in comments plz
I seoursly took a photo of dat
Solve this system of equations:
5x + y = 7
20x + 2 = y
Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
16. Peter was told by his teacher that he needed to measure the height of the building in which his
classroom was located. He backs away from the building and places a mirror on the ground
between him and the wall. When he can see the top of the building in the mirror, Peter is 2 feet
9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter
knew his eye level was exactly 5 ft 6 inches off of the ground, so he was able to calculate the
height of the building. How tall is the building in feet?
Answer:
IT'S 20 FEET JUST FOUND OUT
Step-by-step explanation:
Blake burns 4 1 2calories in 2 3of a minute riding his bike. What is Blake’s unit rate?
Answer:
(4 1/2) / (2/3) =
(9/2) / (2/3) =
9/2 * 3/2 =
27/4 =
6 3/4 (or 6.75) calories per minute
Step-by-step explanation:
Please help!!! Thank you!
Answer:
<6, <4,
Step-by-step explanation:
Remote interior angles are interior angles of a triangle where they do not share a point with the exterior angle. So for <6, it's remote interior angles are <1 and <2, and for <4, it's remote interior angles are <3 and <2.
Hope this helps!
What is the solution for -10 < x - 9?
Answer:
-1 < x
Step-by-step explanation:
-10 < x - 9
+9. +9
-1 < x
