Simple interest , I, is calculated by multiplying the principal, P, by the rate,r, by the time, t, in years:
I = P * r * t
Here, P = $600
r = 0.05 (decimal value for 5%)
t = 2 years
Part a)
The interest earned will be:
I = P * r * t
I = 600 * 0.05 * 2
I = $60
Part b)
The balance in the account will be $600 plus the interest earned or:
$600 + 60 = $660
Answer:
$60 interest
Step-by-step explanation:
divide 5 by 100 = 0.05
multiply 0.05 by 600 = 30
then multiply 30 by the number of years (2) 30×2= 60
60 dollars interest
I think
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
what is the solution of 9x+4<7-3n IF X is an element of whole number
Answer: if you want me to solve for n or x here
Step-by-step explanation: hope this help:)
Which expressions are equivalent to the one below? Check all that apply.
25%
A. 52.5*
B. 5. 52x
C. 5.5%
D. 54.5
E. (5.5)*
F 52x
Answer:
a,b,d
Step-by-step explanation: jusrt the answer, take my word u totally wont fail lol
The equivalent value of the expressions are solved by the exponents
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 25ˣ
On simplifying , we get
A = ( 5 . 5 )ˣ
A = ( 25 )ˣ
And , A = 5ˣ . 5ˣ
From the laws of exponents , we get
mᵃ×mᵇ = mᵃ⁺ᵇ
A = 5²ˣ
A = 25ˣ
Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ
To learn more about exponents click :
https://brainly.com/question/28966438
#SPJ7
The complete question is attached below :
Which expressions are equivalent to the one below? Check all that apply.
25ˣ
8.6 x10^-9 in standard form
-9 in power means that the value is in fractional and the 10 base is multipied 9 times and put it on denominator.
8.6 = 86 x 10^-1
Let's multiply :
86 x 10^-1 x 10^-9
= 86 x 10^-10
= 86/10000000000
=0,0000000086
Note : if you don't know about how 10^-1 x 10^-9 returns 10^-10, it's because of exponential rules. If the base are same wuth each other, then just do the addition operation in the exponent like this :
10^(-1+(-9))
= 10^(-1-9)
=10^-10
Hope it helps :)
8/15-3/15 what’s the answer
Answer:
1/3
Step-by-step explanation:
8/15-3/15=5/15=1/3
What's the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21
Solution :
We have to find the largest fraction in each group.
a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]
[tex]$\frac{5}{6}$[/tex] → when we divide the number 5 with 6, we get 0.833
[tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805
Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.
b). [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]
[tex]$\frac{5}{12}$[/tex] → when we divide the number 5 with 12, we get 0.416
[tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375
Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.
c). [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]
[tex]$\frac{2}{5}$[/tex] → when we divide the number 2 with 5, we get 0.40
[tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42
Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.
d). [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and [tex]$\frac{19}{21}$[/tex]
[tex]$\frac{5}{7}$[/tex] → when we divide the number 5 with 7, we get 0.714
[tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928
[tex]$\frac{19}{21}$[/tex] → when we divide 19 by 21, we get the value 0.904
Therefore, in this group, [tex]$\frac{13}{14}$[/tex] is the largest fraction.
5x - 2y = 18
-5x + 3y = -22
What is 60 times 5 twelfths
Answer:
25
Step-by-step explanation:
do 60 and multipy it by 5 then 5/12
and turn it into a proper fraction
Answer:
25
Step-by-step explanation:
60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25
Given triangle ABC, if angle A = 40, a = 65, and angle B = 25. what is the
length of b?
Answer:
x=50
Step-by-step explanation:
40+65+25+x=180
Combine like terms
130+x=180
x=50
(triangles = 180)
what is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm
Answer:
20x^2−2x−6
Step-by-step explanation:
(4x+2)(5x+−3)
=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)
=20x2−12x+10x−6
=20x2−2x−6
30+5z+5z=180
what is the value of z
Answer:
15
.......................
A circular decorative wall hanging was radius of 6 inches which measurement is closest to the area of the wall hanging in square inches
Answer:
28.270
Step-by-step explanation:
Multiply Pi (3.1416) with the square of the radius (r) 2. The radius can be any measurement of length. This calculates the area as square units of the length used in the radius. Calculated out this gives an area of 28.2744 Square Inches. that would be your formula wright it down this is how u get your answer
Multiply Pi (3.1416) with the square of the radius (6) 2. The radius can be any measurement of length. This calculates the area as square units of the length used in the radius. Calculated out this gives an area of 28.2744 Square Inches.
11 cm
Diagram NOT
accurately drawn
30 cm
The cylinder has a height of 30 cm and a radius of 11 cm. Work out the total surface area of
the cylinder. Give your answer correct to 2 significant figures.
Answer:
[tex]A=2833.71\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of the cylinder, h = 30 cm
The radius of the cylinder, r = 11 cm
We need to find the total surface area of the cylinder. The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\pi \times 11\times 30+2\pi \times (11)^2\\\\A=2833.71\ cm^2[/tex]
So, the total surface area of the cylinder is [tex]2833.71\ cm^2[/tex].
whats the radius for 3(x-1)^2+3(y+3)=243
if XY=10 and YZ=8.5 then XZ must be greater that ______, and less than _____.
Answer:
Your answer is
1.5<XZ<18.5
Hope that this is helpful. Tap the crown button, Like & Follow me
Write an equivalent expression. -2(7+5g)
Answer:
-2(7) + -2(5g)
Step-by-step explanation:
Using the distributive property we can confirm that:
-2(7) + -2(5g) = -2(7+5g)
Answer:
−14−10g
Step-by-step explanation:
First, solve the product:
-2 ⋅ 7 - 2 ⋅ 5g
Multiply -2 times 7 to -14.
So, the equivalent expression would be:
-14 - 2 ⋅ 5g = -14 - 10g
-14 - 10g
hi hi!! please help, it’s 8th grade algebra
Evaluate the following expression:
(16 - 2*2*2) / (12-5*2)
(give answer as a
number... NO WORDS)
Your answer:
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
(16 - 2*2*2)/ (12-5*2)
(16 - 8)/(12-10)
8/2
4
Sorry, if this doesn't help.
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=
Answer:1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=
Step-by-step explanation:
Choose the three equivalent expressions: (Select all that apply 6( 4x + 5y) 20x + 30y 2(10x + 3y) 10(2x) + 10( 3y) 10(2x + 3y)
Answer
Option 2, 4 and 5 :)
Step-by-step explanation:
Option 2 is already simplified to 20x + 30y
Option 4,
10*2x=20x and 10*3y= 30y so option 4 also simplifies to 20x + 30y
Next Option 5, 10*2x= 20x and 10*3y=30y. So it's also 20x + 30y
A rectangular prism. The prism has a length of 4 units, width of 2 units, and height of 1 unit.
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answer:
28 is the total surface area!!
Step-by-step explanation:
A = 2(wl + hl + hw)
Simplify:
(4/2d^2)^3
Answer:
Step-by-step explanation:
[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]
Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?
Answer:
about 38.48 square feet
need help with all 3 pleaseeee
Find the upper bound
Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.
Answer:
a) x = 34
b) yes, it checks out
Step-by-step explanation:
2x - 5 = 3(4 + 1/2x)
multiply both sides by 2 to eliminate fraction
2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x
x - 10 = 24
x = 34
check
2(34) - 5 = 3(4 + 34/2)
68 - 5 = 3(4 + 17)
63 = 3(21)
63 = 63
Jim has completed 16 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Jim completed?
Answer:
20%
Step-by-step explanation:
16/80=0.2 which is 20%
Does: 2(4x + 10) = 8x + 20 has, One, None, Infinitely Many Solutions? You must show your work.
Answer:
one solution
Step-by-step explanation:
2( 4 + 1 0 ) = 8 +2 0 = 2 8 + 2 0
Subtract
from both sides of the equation
Simplify
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution = − 5 /2
4. Which of the following graphs represents y = x-2?
HURRRY PLSSSS. I NEED IT ASAP
Answer:
B
Step-by-step explanation:
when it says -2 that means you go straight down
Answer:
B
Step-by-step explanation:
-2 in the equation is the y intercept and the slope is positive so graph B is the only possible answer
8 ÷ 2 (2 + 2) solve the equation
Answer:
8
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{Just do PEMDAS to solve for this equation; if you do not know what PEMDAS}\\\textsf{means, it simply means}\downarrow[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\textsf{In this given equation you’re doing:}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{8}\div\large\text{2 (2 + 2)}[/tex]
[tex]\large\text{2 + 2 = \boxed{\bf 4}}[/tex]
[tex]\large\text{8}\div\large\text{2(4)}[/tex]
[tex]\large\text{8}\div\large\text{2 = \boxed{\bf 4}}[/tex]
[tex]\large\text{4(4)}[/tex]
[tex]= \boxed{\large\text{\bf 16}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 16}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
5. Suppose you invested PHP 25,000 at a simple interest at a rate of 2.5%, how much will be your investment after
10 years? a. PHP 43,750.00
C.PHP 45,730.00
b. PHP 31,250.00
d. PHP 47,350
Answer:
b. PHP 31,250.00
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = PHP 25,000
Rate = 2.5%
Time = 10 years
Simple interest = principal × rate × time
= PHP 25,000 × 2.5% × 10
= 25,000 × 0.025 × 10
= 6,250
Simple interest = PHP 6,250
Investment after 10 years = principal + simple interest
= PHP 25,000 + PHP 6,250
= PHP 31,250
Investment after 10 years = PHP 31,250