Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = [tex]5000((1+0.04)^3-1)[/tex]
[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]
For William, r= 6%= 0.06
Compound interest = [tex]5000((1+0.06)^3-1)[/tex]
[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
Explain how to solve 2(x-1)=-200
I attached the answer below. Please take a look. You're welcome.
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
(3,6)
(3,-3)
What is the slope
Answer:
The slope is 3. Thats what my friend said
Step-by-step explanation:
i need help this too help me and thank you and thank you
Determine the center and radius of the following circle equation: x^2+y^2-8x+6y-75=0 x 2 +y 2 −8x+6y−75=0 Center: \big(( , \big)) Radius:
Answer:
Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0
-2a =-8 And -2b=-6
a=4 b=3
c=-75
To find the radius use the equation
r^2=a^2+b^2-c
r^2=4^2+ 3^2-(-75)
r^2=25+75=100
r=10(radius is always positive)
Hence the center is (4,3) and radius 10
Step-by-step explanation:
I’ll give brainlest if you get it right if wrong no brainlest
Answer:
2. Isosceles triangle
3. Isosceles triangle
4. Isosceles triangle
5. Equilateral triangle
6. Scalene triangle or Isosceles triangle
Step-by-step explanation:
Answer:
2) Isosceles triangle
3) Scalene Triangle
4) Scalene Triangle
5) Equilateral Triangle
6) Isosceles triangle
Step-by-step explanation:
the image should help you
a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answer:
Draw a line of a givens point
What are the solutions of the equation (2x - 21 = 8?
Answer:
Exact Form: x= 29/2 ( the / is _ under 29)
Decimal form: x= 14.5
Mixed form: x= 14 1/2 ( the / is _ under 2)
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
I need help with this ASAP and can you explain so i can understand?!
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
If 5-x=3 then what is 3x^2
• Solution:-
➪ 5 - x - 3 = 0
➪ 5 - 3 - x = 0
➪ 2 - x = 0
➪ 2 = x
Hence, x = 2
Now,
✯ 3x²
➪ 3 × (2)²
➪ 3 × 4
➪ 12Therefore, 3x² will be = 12.
12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ
Answer:
The product of this equation will be greater than 12,400Step-by-step explanation:
Make this an expression
12,400x1 1/5
Now, Solve this expression
-make 1 1/5 an improper fraction
12,400x 6/5
-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1
12,400/1 x 6/5
12,400x6= 74400
1x5=5
74400/5= 14880
Is 14880 less than or greater than 12400? It is greater.
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
Who earns more per hour, and what is his or her pay rate?
How to find a linear scale factor of two similar shapes joined together.
Answer:
7.5cm
Step-by-step explanation:
the method is shown above
what is the speed of a bowling ball that travels 100 meters in 5 seconds
What number is 2/5 of 50
I dont understand 2/5 of 50
İf 50.2/5
[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]
İf 2/5 /50
[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answer:
It is C
Step-by-step explanation:
The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25
Answer:
p - 25
Step-by-step explanation:
Given :
Discount = 25 dollars off
Regular price = p
Sale price in dollars :
Regular price - discount
p - 25
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
M is a multiple of 26. Which of the following cannot be true?
A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero
Please helppppp it’s due soon and I’m already failing my class!!!
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
2x - 4y = 9, What is it you need to know to be able to solve this problem?
Answer:
What X and Y equal to.
Answer:
you need to know math, and some more math. thats really the answer
Step-by-step explanation:
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
Marie added 3 1/8 cup of all-purpose flour and 1/4 cup of whole wheat flour in the cake. She added 1/3 cup of sugar at also, how much flour she added in the cake ?
Answer:
3 [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Maria only combined two different types of flour to the cake. Therefore, in order to find the total amount of flour she added we need to add these measurements together. First, we need to find a common denominator. We do this by multiplying the numerator and denominator of the amount of whole wheat flour by 2. This would be the easiest way of giving us the same denominator as the measurement for the all-purpose flour.
[tex]\frac{1 * 2}{4 * 2}[/tex] = [tex]\frac{2}{8}[/tex]
Now that we have the same denominators we can simply add both measurements together
3 [tex]\frac{1}{8}[/tex] + [tex]\frac{2}{8}[/tex] = 3 [tex]\frac{3}{8}[/tex]
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
Please help! If you have any questions please just ask