Answer:
$1,038
Step-by-step explanation:
the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).
2.5% as a decimal is 0.025
We will add that to 1, because when we earn interest, we are gaining money.
So we will substitute our given numbers into the equation:
y=6500(1.025)^6
solve:
y=$7,5638 (rounded)
That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount
75638-6500
$1,038
So he made $1,038 in interest
What is the formula for the volume of a sphere?
V=(1/3)*(π)*(r*r)*(h)
V=π*r*r*h
V=b*l*h
V=(4/3)*(π)*(r*r*r)
Answer:
D,
Step-by-step explanation:
the volume of a sphere is 4/3πr^3
help? part a:
Students at Sunnyside Middle School are selling tickets to the annual talent show. Below is a table showing ticket prices for students and adults.
Talent show ticket prices
Student Price $3
Adult Price $5
What amount of money would be collect if 60 students and 30 adults bought tickets? Show or explain how you got your answer.
Answer:
$330
Step-by-step explanation:
$3 times 60 students = $180
$5 times 30 adults = $150
$180 + $150 = $330
Answer:
Step-by-step explanation:
you would find your answer by multiplying the amount of students/adults by how much each ticket costs
60 x $3 = $180
30 x $5 = $150
$180 + $150 = $330
Express 0.0175 in scientific notation.
Answer:
Step-by-step explanation:
1.75 x 10^-2
Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.
What is the quotient? X+5√3x^2+4x+5 A.) 3x^2-11+60/x+5 B.) 3x-11+60/x+5 C.) 3x^2-11-50/x+5 D.) 3x-11-50/x+5 Please hurry this is timed!
Answer:
[tex]3x - 11[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]
Required
Determine the quotient
First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder
Equate the denominator to 0.
[tex]x + 5 = 0[/tex]
[tex]x = -5[/tex]
Substitute -5 for x in the numerator
[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]
[tex]3x^2 + 4x + 5 = 60[/tex]
This means that it has a reminder of 60
To get the quotient, we subtract 60 from the numerator and evaluate
[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes
[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]
[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]
Expand the numerator
[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]
Factorize:
[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]
Factor out x + 5
[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]
Cancel out x + 5
[tex]3x - 11[/tex]
Hence, the quotient is [tex]3x - 11[/tex]
Muffins come in 3 sizes, 4 flavors, and with or without nut toppings. How many combinations are in the sample space?
Answer:
9 combinations are in the sample space
Step-by-step explanation:
Well there's 3 sizes 4 flavors and with or without nuts
3(Sizes)+ 4(flavors)+ 2(with or without)
Therefor when you add those up you get 9 things people can choose from, known as the sample space.
i’m confused on how to do this
Answer:
68°
Step-by-step explanation:
The sum of all internal angles of a circle always total 360°.
So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.
90 + (2x+1) + (2x-3) = 360
90 + 4x -2 = 360
4x - 2 = 360 - 90
4x - 2 = 270
4x = 272
x = 272/4
x = 68°
From here, you can find any of the two unknown angles by simply plugging in x = 68°.
Feel free to ask me if you didn't understand any part :D
Hope this helps!
Divide 45 pens between devika bhoomika in the ratio 4:5
Answer:
20:25
Step-by-step explanation:
add how many parts (4+5=9)
45/9=5
4*5=20, 5*5=25
therefore, 20:25
12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is
in the patient's bloodstream h hours after the drug has been administered.
(a) What was the initial dosage?
(b) How many milligrams will be present after 1 hour? After 4 hours?
please help..
Answer:
Part A; Initial dosage is 10 milligrams
Part B:
8.4113 milligrams after 1 hour
5.0057 milligrams after 4 hours.
Step-by-step explanation:
It is given M(h)= 10 [tex]e^{-0.173h}[/tex]
Initial dosage is the 10 milligrams
After 1 hour, plug in h as 1
So, M(1)=10[tex]e^{-0.173*1}[/tex]
Simplify the right side
M(1)=10(0.84113)
M(1)= 8.4113 milligrams.
Now, after 4 hours
M(4)=10 [tex]e^{-0.173*4}[/tex]
M(4)=10(0.50057)
M(4) =5.0057 milligrams
i need help with this asap! i will give brainliest :) (image included)
7 x 3 = 21 so it is 21 ft cm your welcome
Answer:
The answer is C = 63π
Step-by-step explanation:
V = πr2 h
V = π (3)2 x 7
V = π (9) (7)
V = 63 π
Alexa wants to purchase some new supplies for making jewelry
Answer:
B A A
Step-by-step explanation:
what is 5 times a number minus 3 is 12 ?
Answer:
5*x-3=12
the number is 3 because 5*3=15 and 15-3=12
Answer:
3
Step-by-step explanation:
x - 3 = 12
12 + 3 = 15
15 - 3 = 12
5( ? ) = 15
15/5
? = 3
5(3) = 15 - 3 = 12
Hope this helps dude
write the expression in exponential form.
Answer:
[tex] \sqrt[7]{ {x}^{2} } [/tex]
Step-by-step explanation:
can be rewrite as
[tex] \sqrt[n]{a} {2}[/tex]
so x
[tex] {x}^{2 \div 7} [/tex]
Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?
Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?
I had this question asked before lol
Answer:
X=[1 5 8 -1]
Step-by-step explanation:
B or Option 2
Help me out please an thank you
Answer:
Answer is D
Step-by-step explanation:
because its sideways its x = y^2
and because its facing right its positive.
-8x+2<114
Make sure to type “x” and the the inequality symbol “<,>,<_,_>”
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What is the volume of a sphere with a radius of 6.9 ft
Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!
The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
What is volume?Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.
How to calculate volume?We have been given two cones. First is having radius of 7 mi and
height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.
Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]
=(49*3.14*14)/3
=708.86
Approximately 709 [tex]mi^{3}[/tex]
Volume of second cone =1/3π[tex]5^{2} *10[/tex]
=(25*3.14*10)/3
=261.67
Approximately 262 [tex]cm^{3}[/tex].
Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].
Learn more about volume at https://brainly.com/question/463363
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Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and school
Answer:
11.66 units
Step-by-step explanation:
Given that he walks 10 blocks north and then 6 blocks west..
When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.
Hence, let the straight line be h
h^2 = 10^2 + 6^2 (using Pythagoras theorem)
h^2 = 100 + 36
h^2 = 136
h = √ 136
h = 11.66 units
(4c+3d) - (6c-6d) - (3c-5d)
Simplify please <3
Answer:
Solution
−5+14
Step-by-step explanation:
Distribute
(4+3)−1(6−6)−1(3−5)
(4+3)−6+6−1(3−5)
Distribute
(4+3)−6+6−1(3−5)
(4+3)−6+6−3+5
(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5
4+3−6+6−3+5
Combine like terms
4+3−6+6−3+5
−5+3+6+5
Combine like terms
−5+3+6+5
−5+14
Solution
−5+14
Whats 1+1 and 2+2 and 3+7 I’m in the first grade
Answer:
1 answer is 2
2 answer 4
3 answer 10
Step-by-step explanation:
Add 1+1
get 2
Add 2+2
get 4
Add 3+7
get 10
3
The grid shown below is in the shape of a rectangle.
What is the area, in square units, of the shaded part of the rectangle?
А.
14
B
24
С
28
D
48
Answer:
hello
Step-by-step explanation:
but dear where is the picture?
stuck on this hope someone can help me
Answer:
all are correct except the third one. the formula for that one should be v = a³ since it's a cube
Step-by-step explanation:
Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )
Step-by-step explanation:
to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term
so, 12/-4 = -3
also, -36/12 = -3
here u see the ratio is always same, i.e., common ratio.
thus u can say it is a geometric series with common ratio -3
Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!
Answer:
6x + 2 and 2x + (x + 1) + 2x + (x + 1)
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = 2x
Width = x + 1
Perimeter of a rectangle = 2(length + width)
= 2{2x + (x + 1)}
= 2(2x + x + 1)
= 2(3x + 1)
= 6x + 2
Perimeter = length + width + length + width
= 2x + (x + 1) + 2x + (x + 1)
Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.
Answer:
y+4=-2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-2(x-(-1))
y+4=-2(x+1)
What’s the answer!???
answer is $30
looks like u cheating
Corey needs at least 2 gallons of paint to make a mural. If Corey has 6 quarts and 3 pints of paint, will he be able to make a mural?
Answer:
no
Step-by-step explanation:
4 quarts = 1 gallon, so he would have 1.5 gallons.
8 pints = 1 gallon, he would need 4 pints to have 2 gallons
Answer:
No he will not.
Step-by-step explanation:
6 quarts to a gallon is 1.5
3 pints to a gallon is 0.375
you add those together you get 1.875 not 2
pls i need help is dis qs :(
Answer:
Step-by-step explanation:
Fig 1
<f=180-2×30=180-60=120
<D and <E are base angle of isosceles triangle.
Fig 2
AB=AC=BC=8
All the side of equilateral are equal and all interior angle also equal.
Answer:
Step-by-step explanation:
a) ΔFED is isosceles triangle. EF = ED
∠F = ∠D =x {Angles opposite to equal sides are equal}
∠F + ∠E + ∠D = 180 {Angle sum property }
x +x + 30 = 180
2x + 30 = 180
2x = 180 -30
2x = 150
x = 150/2
x = 75
∠F = 75
b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.
So, AB = 8