A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answer:
Interest: $1440
Total Account Balance: $5440
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.2%/100 = 0.012 per year,
then, solving our equation
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
The simple Interest is $1440 and the total Account Balance: $5440.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
First, converting R percent to r a decimal,
r = R/100 = 1.2%/100 = 0.012 per year,
Then, solving our equation,
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated,
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
Therefore, the simple Interest is $1440, and the total Account Balance: $5440.
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what's 4/6 in decimal form
x > -2
A number line going from negative 2 to positive 2.
Check all that are solutions of the inequality.
A. -2
B. 0
C. -3.75
D. 4 and two-fifths
E. 1.999
F. 347,595
Answer:
B, E
Step-by-step explanation:
0 and 1.999 are greater than -2 yet within the number line
Answer:
0
4 and two-fifths
1.999
347,595
Step-by-step explanation:
Got it right.
Hope this helps!!!
HELP In △ABC, m∠A = 75° and m∠C = 20°, What is m∠B?
To solve this question, we must know the the angle sum property of a triangle. Therefore the value of ∠B is 85° when ∠A = 75° and ∠C=20° in △ABC
What is angle sum property of a triangle?According to angle sum property of a triangle, the sum of all angles of a triangle is always 180 degree. It can never be more than or less than 180 degree. If two angles of a triangle is given then the third angle can be calculated by subtracting the sum of two angle from 180°
The sum of the three angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180°
Substituting the given values in the given equation we get
75° + ∠ B + 20° = 180°
∠ B + 95° = 180°
subtracting 95° from both sides we get
∠ B = 85°
Therefore the value of ∠B is 85° when ∠A = 75° and ∠C=20° in △ABC
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Point A is located at (-2,-2). Plot all of the points 3 units away that have the same y-coordinate as point A.
Answer:
Points are ( 1, -2) , (-5, -2)
Step-by-step explanation:
the given point is A ( -2, -2)
If we fix the y coordinate , then we can change only x coordinate
As we want point 3 unit away
So, add 3 and subtract 3 from x coordinate to find the resultant point
If we add 3 to x coordinate , we get
-2 + 3 = 1
So the point be ( 1, -2)
If we subtract 3 to x coordinate , we get
-2 - 3 = -5
So the point be ( -5, -2)
The graph is as follows :
Please help me with this
Answer:
1 h 30 minuutes
Step-by-step explanation:
[tex]1.5 \: hr = 1 \: hr + 0.5 \times 60 \: min \\ \\ = 1 \: h \: 30 \: min \\ \\ [/tex]
Answer:
1.5 Hrs x 60 minutes = 90 minutes
1 hour 30 minutes
you can buy 3 t-shirts for $22.50. write and solve a proportion that shows how many t-shirts you could buy with $110
Answer:
14.6 T-Shirt
Step-by-step explanation:
Well, you divide 22.50 and 3 and you get 7.5.
Once you get 7.5 you divide it by 110 which is 14.6
how do you simplify 1/10
Answer:
0.1
Step-by-step explanation:
[tex]10\sqrt{1} \\10\sqrt{1.0} \\=0.1[/tex]
find the volume and the total surface area of a cuboide whose dimension 2m, 80cm and 60cm
Answer:
Volume= 0.96m^3
TSA= 6.56m^2
Step-by-step explanation:
Given data
Length = 2m
Width= 80cm= 0.8m
Height= 60cm= 0.6m
Volume= L*W*H
Volume= 2*0.8*0.6
Volume= 0.96m^3
TSA=2lw+2lh+2hw
TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8
TSA= 3.2+ 2.4+ 0.96
TSA= 6.56m^2
How do I write both of these questions in y=mx +b form?
-y-3+4x=0
-4=-3x-y
Step-by-step explanation:
1st one
y=4x-3
2nd one
y=4-3x
10 cm
8 cm
2.5 cm
8 cm
6 cm
2.5 cm
what’s the surface area
Answer:
10+8+2.5+8+6+2.5=37 .
ok you are understand or bot
Identify the slope in the equation y= x - 2
Answer:
The slope-intercrept from y is = mx+b, where m is the slope and b is the y-intercrept
Step-by-step explanation:
y=x-2
Can you solve this for me pleasee
Solve 18- m=6
Answer:
m = 12
Step-by-step explanation:
Given
18 - m = 6 ( subtract 18 from both sides )
- m = - 12 ( multiply both sides by - 1 )
m = 12
24 is 3/4% of what number
Answer:
32
Step-by-step explanation:
Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)
So our simple equation looks something like this:
[tex]24= x *\frac{3}{4}[/tex]
So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.
So: [tex]24 * \frac{4}{3} = x[/tex]
Doing the simple math we get:
[tex]24 * \frac{4}{3} = 32[/tex].
32 is your answer.
Hope this helps and have a nice day! Sorry I'm not great at explaining it!
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Answer:
A C D
Step-by-step explanation:
Unit rate examples:
70 miles / 1 hour
$1.10 / 1 pound
32 heartbeats / 1 minute
Unit rate will always have 1 as a denominator when put into a ratio. All answers except B have 1 as the rate.
Answer:
what elephant house said I was to late
Step-by-step explanation:
For which value of m is start fraction 4 over 16 end frction equals start fraction m over 24 end fraction a proportion? A. m = 6 B. m = 8 C. m = 12 D. m = 14
Answer:
A. M=6
Step-by-step explanation:
Basically, this question is asking you to find m if 4/16 = m/24.
First, 4/16 can be simplified to 1/4. This will make it easier to solve.
You now have 1/4 = m/24.
Multiply both sides by 24 to get 24/4 = m.
Simplify to get m = 6.
If cos 0 = 3/5
and angle 0 is in Quadrant IV, what is the value of tan 0 ?
Tan =
Answer:
-4/3.
Step-by-step explanation:
cos O = 3/5
Using Pythagoras to find the length of the side opposite the angle O:
As the cos of O is adjacent/ hypotenuse, Hypotenuse = 5 , adjacent side = 3 so
opposite side. = sqrt(5^2 - 3^2) = sqrt 16
= 4.
Now the tangent is negative in Q IV so
tan O = opposite / adjacent side = -4/3
What is the value ( 1.6 x -0.25) x 4 to the second power
Answer:
2.56
Step-by-step explanation:
( 1.6 x -0.25) x 4= -1.6
(-1.6)^2 = 2.56
4. 1/3(3y - 6) = 8 i need the answer to this please
1/3 (3y - 6) = 8
distribute: y - 2 = 8
add 2 to both sides: y = 10
10
Answer: y=10
Step-by-step explanation: 1 /3 (3y−6)=8
( 1 /3 )(3y)+( 1 /3 )(−6)=8
y+−2=8
y−2+2=8+2
y=10
A new tv costs 1500, a salesperson makes 3.25% commision for every sale, how much would the salesperson make for 1 tv sold.
Answer:
48.75
Step-by-step explanation:
The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.
Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75
1 pts
Molly and her friends had a large sausage pizza for dinner. Molly cut it into 12 pieces. She ate one
piece and gave Karen and Carol 2 pieces each. What is the fraction of the pizza that is left?
2/19
Answer:
7/12
Step-by-step explanation:
Simplify 3xy - 9xy + 11y
-y · (6x-11)
Hope that helps
PLEASE HELP!!!! EASY 50 POINTS!! WILL MARK BRAINLIEST!!
1. Which graph has the y-intercept -2?
2. Which statement describes the y-intercept of the graph of aproportional relationship?
A: It is equal to the x-intercept of the line.
B: It is greater than the x-intercept of the line.
C: The line intersects the y-axis of the graph at the origin.
D: The line intersects the y-axis of the graph above the origin.
Answer:
For 1 it is D
For 2 it is A
Hope this helps :)
Step-by-step explanation:
Answer:
#1
Option D
Y intercept-2 means line passes through the downward y-axis.#2
As
[tex]\\ \sf\longmapsto x\propto y[/tex]
It is equal to the x-intercept of the line.
Option A is correct
The dots in the diagram are 1 unit apart. What is the longest segment that can be drawn between two of the dots without
intersecting another dot in the diagram?
A)
1
B)
2
Vs
D)
2/2
Answer:
the correct answer is C) √5
Step-by-step explanation:
hi please help. I will really appreciate it!
Answer:
sorry but it is not clear pleas take a more clear pic
Step-by-step explanation:
The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:4:4.1:4:4. If JM=45,JM=45, find JL.JL.
Answer: JL = 25
Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.
Suppose first segment JK measures d.
The total ratio is the sum of each part
d + 4d + 4d = 9d
The sum of each part corresponds to the total measure of the line segment. Then:
9d = 45
d = 5
Segment JL is
JL = d + 4d
JL = 5d
JL = 5.5
JL = 25
Segment JL measures 25 units.
find missing factor 7^-5 = blank × 7^6
Answer:
7^-11
Step-by-step explanation:
Given the expression 7^-5 = blank × 7^6
Let the blank be x
7^-5 = x × 7^6
x = 7^-5/7^6
According to law of indices a^b/a^c = a^b-c
x = 7^(-5-6)
x = 7^-11
Hence the missing factor is 7^-11
is palpatine the strongest sith
Answer:
One may think that he is the most powerful Sith Lord, and on some levels this is correct, but that title falls to another, even more powerful Sith Lord. That is Jar Jar Binks. He possesses the power to wipe out entire universes without blinking an eye. Jar Jar is an entity that was here before the universe was created. He made God. He even made Shaggy in his image so that he could have a set of eyes on Earth. He needed a right hand man to corrupt humanity at its source. Some might say that Jar Jar is the true form of evil, but I refute that claim with an argument of my own. Jar Jar Binks may have destroyed countless lives, but he did so in order to keep the balance of the universe, and for that, I thank him. All hail Jar Jar.
Step-by-step explanation:
The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.
Answer:
the answer is 16
please help me on this will give you brainliest