Answer:
interest: $275.77balance: $3,275.77Step-by-step explanation:
The account value is given by the compound interest formula:
A = P(1 +r/12)^n
Principal P invested at annual rate r compounded monthly for n months.
__
Using your parameters, the account balance would be ...
A = $3000(1 +0.016/12)^66 = $3275.77 . . . account balance
The interest is the difference between this balance and the original investment amount:
interest = $3000 -3275.77 = $275.77 . . . interest
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?
Answer:
R = 10 cm
Step-by-step explanation:
The area of a spherical shape is given by :
[tex]A=4\pi r^2[/tex]
Where
r is the radius of the sphere
ATQ,
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.
The radius of each small bubble is 5 cm
Using the given condition,
[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]
So, the radius of the large bubble is equal to 10 cm.
Answer:
20cm
Step-by-step explanation:
5cm+5cm+5cm+5cm=20cm
Can someone round these to the nearest .1
1.602564102564103
2.380952380952381
Answer:
1.6; 2.4
Step-by-step explanation:
five or more round up
4 or less leave as is
what's
[tex] \sqrt{56 \times 56} [/tex]
Answer:
That would be 56. :D
Nice drawing sir/ma'am/person. :D
Step-by-step explanation:
PLZ HELP ME ITS ALMOST DUE
3/5(a + 5.25) = 7.35 What does a equal
Answer:
a = 7
Step-by-step explanation:
Let's solve your equation step-by-step.
3/5(a+5.25)=7.35
Step 1: Simplify both sides of the equation.
3/5(a+5.25)=7.35
(3/5)(a)+(35)(5.25)=7.35 (Distribute)
3/5a+3.15=7.35
Step 2: Subtract 3.15 from both sides.
3/5a+3.15−3.15=7.35−3.15
3/5a=21/5
Step 3: Multiply both sides by 5/3.
(5/3)*(3/5a)=(5/3)*(21/5)
a=7
Helpppppppppppp plz helpppppppppppppp
Answer:
trueeee :) that is my answer
If you help me u are the best ;)
Answer:
Area = (8 + 2x)² mi²
Step-by-step explanation:
Length of the side of a park = 8 mi
Width of the road around the park = x mi
Length of one side of the park with the road = (8 + 2x) mi
Area of the park with road = (side)²
= (8 + 2x)²
Therefore, combined area of the park and road is (8 + 2x)² square miles.
hey....lol i need help on this
Answer:
W = 32
Step-by-step explanation:
lol.
Write an expression equivalent to m+m+m+m that is sum of two terms
the answer is 4m
and 2 plus 2 is 4
i don't know if I'm right
a university directory has 25 pages filled with students' names. There are a total of 15,050 names in the directory. Each page has an equal number of names. How many names are on each page?
p l e a s e h e l p ; - ;
what is pi and what is its number
Answer:
pi is an irrational number and its value
is 22/7 in fraction and 3.14 in decimal
and 22/7 is rational number
hope it helps
Answer:
Pi is the ratio of a circle's circumference to its diameter.
The first 10 digits are 3.1415926535
Step-by-step explanation:
If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to
Answer:
Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Step-by-step explanation:
To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?
Solution -
We know that, formula for finding the Present vale is given by
Present value = Future value / (1 + r)ⁿ
where r is the rate of interest
and n is Number of periods
Now,
Here in the question, we have
r = 12% = 12/100 = 0.12
n = 5
Also, Given that, we have received Rs X at the end of each year
So,
Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]
= [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Solve a-3=13
What is Z
Answer:
a = 16 hope this helps
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps
Answer:
x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+5)^2=21
Step 1: Simplify both sides of the equation.
4x^2+40x+100=21
Step 2: Subtract 21 from both sides.
4x^2+40x+100−21 =21−21 4x^2+40x+79=0
For this equation: a=4, b=40, c=79
4x^2+40x+79=0
Step 3: Use quadratic formula with a=4, b=40, c=79.
x= −b±√ b^2−4ac/2ax
= −(40)+√ (40)^2−4(4)(79)/2(4)
x = 40^2±√ 336/8
x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21
Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
( I hope this was helpful) >;D
like terms have the same _____ with the same _______
Answer:
like terms have the same VARIABLES with the same POWER
:)
Answer:
Variables; Powers
Step-by-step explanation:
Like terms have the same variables with the same powers. Eg:-
[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]
These are like terms as they both have the same variables and powers
0.5+2x < 14.5 whats the answer
Answer:
x < 7
Step-by-step explanation:
0.5 + 2x < 14.5
2x < 14.5 - 0.5
2x < 14
x < 14 ÷ 2
x < 7
( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )
how is a corm different from a bulb?
Answer:
Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.
Step-by-step explanation:
If JKLM is an isosceles trapezoid, find each value listed below. Help ASAP !!
I need help ASAP
questions:
1. what is the measure of angle K?
2. What is the measure of angle M?
3. what is the value of "x"?
Could someone please answer this for me and explain clearly how to do it?
Answer:
your answers will be
A》3
B》-4
Step-by-step explanation:
hope it helps you
have a great day!!!
Find the measure of each angle in the isosceles trapezoid.
(I found one already)
Answer:
∠A = 116°
∠B = 116°
∠C = 64°
Step-by-step explanation:
since it is an isosceles trapezoid, ∠C = ∠D = 64°
∠A would be same side interior to ∠D so it would be 180° - 64° = 116°
∠B = ∠A = 116°
The measure of each angle in the isosceles trapezoid are; ∠A = 116°
∠B = 116° and ∠C = 64°
What is isosceles trapezoid?Due to the figure being isosceles trapezoid, it is symmetric.
Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.
Since it is an isosceles trapezoid, ∠C = ∠D = 64°
Here we can use the symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°
We have ∠A that would be same side interior to ∠D
Thus, it would be 180° - 64° = 116°
∠B = ∠A = 116°
Learn more about isosceles trapezoid here:
brainly.com/question/4084820
#SPJ2
Find the indicated side of the
right triangle.
45°
у
6
45°
y = [?]/
Enter
Answer:
y = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 6[tex]\sqrt{2}[/tex]
Find the common
ratio of the geometric sequence 1, -3, 9, -27, 81, ...?
Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equally among the sister.How much did each sister get.
Answer:
The equal amount is 525 .
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525 .
Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read.
Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason
Answer:Jason has read 7 mystery novels and Judy has read 17 mystery novels
Step-by-step explanation:
Total number of mystery books read by Jason and Judy =24
Let Number of mystery books read by Jason=x
and Number of mystery books read by Judy= 3x-4
So that the total number of book read by both of them will be expressed as
x +(3x-4) =24
x +3x-4 =24
4x=24+4
4x=28
x=28/4=7
There fore Jason has read 7 mystery novels
and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels
Someone plz help me plz
Answer:
i woyld say 1/3 and 2/5
Step-by-step explanation:
they aer bigger parts then the other
Answer:
if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .
Write an equation for the line shown above:
y = x +
Answer:
the answer is y=4x+3
Step-by-step explanation:
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
Which student has the greater median test score?
Answer:
amy, since the middle term is further up the graph
Step-by-step explanation:
median is the middle term, amy's middle term is further
Kree works for a constant hourly wage of w dollars. Which choice shows the correct relationship between e, Kree's total earnings in a week, and h, the number of hours he worked during the week?