Budget Actual Difference
DM 72,800 75000 2200 U
DL 78400 78000 400 F
FO 35000 34500 500 F
Hcf of 32 and 48 pls
HCF/GCF 32 and 48
listing factor
32: 1, 2, 4, 8, 16, 32
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
HCF: 16
prime factorization
32: 2 x 2⁴
48: 3 x 2⁴
HCF: 2⁴ = 16
Piper invested $4,700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?
Answer:
The answer to the nearest CENT is A= 11699.69
Step-by-step explanation: round to the nearest cent
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4700\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ t=years\dotfill &19 \end{cases} \\\\\\ A=4700e^{0.048\cdot 19}\implies A=4700e^{0.912}\implies A\approx 11699.69[/tex]
Use the information given to answer the question.
The measures of angle QRS and angle SRT have a sum of 90∘.
Part A
Which statement about the relationship between angle QRS and angle SRT is true?The two angles are adjacent.
The two angles are adjacent.
The two angles are congruent.
The two angles are congruent.
The two angles are supplementary.
The two angles are supplementary.
The two angles are vertical angles.
hurry
Angles are the measures between two intersecting lines or rays
The relationship between angle QRS and angle SRT is the two angles are adjacent.
How to determine the relationshipThe given parameter is:
The sum of angle QRS and angle SRT = 90 degrees.
Complementary angles have a sum of 90 degrees.
This means that, angles QRS and SRT are complementary angles, and that can be adjacent angles
Read more about angles at:
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Answer:
Step-by-step explanation:
it's a
if 5 is 1/4,what is the whole?
Answer:
20
Step-by-step explanation:
If 5 is 1/4, then multiply 5 by 4 to get 20
Hope this helps! :)
Have a blessed day and remember to keep smiling! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Jane has already run 6 miles this month. She plans to run an additional 2.5 miles per day.
At this rate, how long will it take Jane to run 41 miles?
Which function is the inverse of f(x) = (x − 3)3 + 2?
Answer: f = 3x -7 / x
Step-by-step explanation:
fx=(x−3)(3)+2
Step 1: Divide both sides by x.
fx/x = 3x -7 / x
f = 3x -7 / x
Answer: f = 3x -7 / x
If x = 15 cm, y = 36 cm, and z = 39 cm, what is the surface area of the geometric shape formed by this net? A. 1,890 cm2 B. 2,880 cm2 C. 2,430 cm2 D. 738 cm2
Answer:
I belive it’s C
Step-by-step explanation:
I don’t know if it’s correct tell me if I’m wrong
6. Rhombus (3 points)
A
N
I
a. If AN = 12, what is the measure of NT?
b. Diagonal AT intersects diagonal ZN at point M. If the mZZMT = 4x, what is the value of x?
c. Diagonal AT intersects diagonal Z N at point M. If the mZZAM = 3x + 2 and the
MZNTM = 8x - 90, what is the mZN?
Square (2 points)
Answer:
44 is my answer thank you please ask me questions a little bit easier and not reach the level I am still in jss2 class
3. Barb wants to get 8 out of every 10 questions right on her test. If there are 35 questions on the
test, how many will Barb want to get right?
There are 20 members of taekwondo club, 40 math club members, 60 drama
theatre members, and 30 members of science club. The researchers want to get 20
respondents out of these organizations. Identify the samples to be taken in each
organization.
⚘Refer to the attachment for solution!!~
The sample to be taken in each organization such as 2.6 in the taekwondo club, 5.3 in the math club, 8 in the drama club, and 4 in the science club.
Total members of taekwondo club = 20
Total members of math club = 40
Total members of drama club = 60
Total members of science club = 30
The researchers want to get 20 respondents out of these organizations.
What is the stratified sampling method?The stratified sampling method is the process of dividing members of data into homogenous subgroups before sampling.
The total number of members = 150
For taekwondo club
= Total members of taekwondo club /total number of members × 20
= 20/150 × 20
= 2.6
For math club
= Total members of math club/total number of members×20
= 40/150 × 20
= 5.3
For drama club
= Total members of drama club/total number of members × 20
= 60/150 × 20
= 8
For science club
= Total members of the science club/total number of members × 20
= 30/150 × 20
= 4
Therefore, The sample to be taken in each organization such as 2.6 in the taekwondo club, 5.3 in the math club, 8 in the drama club, and 4 in the science club.
Learn more about the stratified sampling method;
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Help me this I don't understand this one show work pls
Answer:
x = 1/2
Step-by-step explanation:
10^-3x * 10^x = 10^-2x = 10^-1
17. Observe the figure and name the following
a) Vertices of the polygon
b) Two pairs of adjacent sides
c) Two diagonals
d) Sides of the polygon
By using the image of the polygon and the definition for the parts, we can see that:
a) A, B, C, D, and E.b) DC and CB, AE and ED.c) AD, BEd) AB, BC, CD, DE, and EA.How to identify the parts of the figure?a) The vertices are the points where two sides connect, in this case, each letter represents a different vertex, so the vertices of the polygon are A, B, C, D, and E.
b) Adjacent sides are any pair of sides that are connected by a vertex.
For example, DC and CB are connected through vertex C, so these are adjacent sides.
Another pair can be BA and AE.
c) Diagonals are the segments between two non-consecutive vertices.
For example, E and D are consecutive vertices (because there are next to each other). And A and D are non-consecutive vertices.
Then AD is a diagonal. Another example can be EB.
d) The sides of the polygon are the segments between consecutive vertices, in this case, the sides are:
AB, BC, CD, DE, EA.
If you want to learn more about polygons, you can read:
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What is the slope of the line passing through the points (-1, – 7) and (-9, - 2)?
» What is the slope of the line passing through the points (-1, – 7) and (-9, - 2)?
[tex]\color{brown} \mathbb{ANSWER:}[/tex][tex] \color{hotpink} \bold{(Slope) \: m = - \frac{5}{8} }[/tex][tex] \sf \:As \: a \: decimal: \color{hotpink} \bold{ \: m = - 0.625 }[/tex]— — — — — — — — — —
[tex] \color{darkblue} \mathbb{FORMULA:}[/tex][tex] \tt \: \underline{ \boxed{ \tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}}}} \\ [/tex][tex] \color{darkblue}\mathbb{GIVEN:}[/tex][tex] x_{ 1} = - 1\: \: \: \: \: \: \: y_{1} = - 7 \\ x_{2} = - 9 \: \: \: \: \: \: \: y_{2} = - 2[/tex][tex] \color{darkblue} \mathbb{SOLUTION:}[/tex][tex] \tt m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\ [/tex][tex] \tt m = \frac{ ( - 2) - ( - 7)}{( - 9) - ( - 1)} \\ [/tex][tex] \tt m = \frac{ \: 5}{ - 8 \: } \\ [/tex][tex] \tt m = \underline{ \boxed{ \bold{ - \frac{ 5}{ 8 } }}} \\ [/tex][tex] \tt m = \underline{ \boxed{\bold{ - 0.625}}}[/tex]_______________❦︎_______________
.The world's tallest mammal is a giraffe at a height of 19 feet. What is the height of the giraffe in inches?????
Answer:
228 inches
Step-by-step explanation:
There are 12 inches in a foot.
19 × 12 = 228
Question 1 of 5
Jenn's carpool ride has been late 6 days out of the past 20 days. What is the
estimated probability, based on relative frequency, that her ride will be late
tomorrow?
A. 70%
B. 40%
C. 60%
O D. 30%
SUBMIT
Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
1. f : R → R defined by f(x) = 3x^3
2. g : R+ → R defined by g(x) = ln(x).
3. h : R → R defined by h(x) = x − 9
a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)
b. The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]
c. The inverse image of h(x) is h⁻¹(x) = x + 9
The domain of TSince T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0
⇒ x² ≥ 25
⇒ x ≥ ±5
⇒ -5 ≤ x ≤ 5.
Inverse image of f(x)
The inverse image of f(x) is f⁻¹(x) = ∛(x/3)
f : R → R defined by f(x) = 3x³
Let f(x) = y.
So, y = 3x³
Dividing through by 3, we have
y/3 = x³
Taking cube root of both sides, we have
x = ∛(y/3)
Replacing y with x we have
y = ∛(x/3)
Replacing y with f⁻¹(x), we have
So, the inverse image of f(x) is f⁻¹(x) = ∛(x/3)
Inverse image of g(x)
The inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]
g : R+ → R defined by g(x) = ln(x).
Let g(x) = y
y = ln(x)
Taking exponents of both sides, we have
[tex]e^{y} = e^{lnx} \\e^{y} = x[/tex]
Replacing x with y, we have
[tex]y = e^{x}[/tex]
Replacing y with g⁻¹(x), we have
So, the inverse image of g(x) is [tex]g^{-1}(x) = e^{x}[/tex]
Inverse image of h(x)The inverse image of h(x) is h⁻¹(x) = x + 9
h : R → R defined by h(x) = x − 9
Let y = h(x)
y = x - 9
Adding 9 to both sides, we have
y + 9 = x
Replacing x with y, we have
x + 9 = y
Replacing y with h⁻¹(x), we have
So, the inverse image of h(x) is h⁻¹(x) = x + 9
Learn more about inverse image of a function here:
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Find the value of x, y, and z in the rhombus below
Answer:
Step-by-step explanation:
Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]
Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]
calculate the area of the rigt triangle
Answer:
Area = 1/2 × base × height
A = 1/2 × 5 × 3,3/5
= 9
Help with number 17 please
Answer:
B is the answer
Step-by-step explanation:
it goes downward if viewed left-right
Jo and Val are a couple. Jo's monthly net earnings are $4000, and Val's are $6000. Following the 80/20 rule, how much should the couple save every month?
Answer:
about 400
Step-by-step explanation:
34
Which expression represents the phrase below?
3 fewer than a number, P
3-p
В
p=3
C
3 +p
D
P-3
Answer:
D) P - 3
Step-by-step explanation:
"fewer than" a number means "less than" a number. So "3 fewer than" means "subtract 3" from the number.
⇒ P - 3
3x ^3- 12x^2- 15x = 0
factor and solve to find all the zeros
show all work
Answer:
x = 0 ; x = -1 ; x = 5
Step-by-step explanation:
3x^3-12x^2-15x=0
-> 3x(x+1)(x-5)=0
-> 3x = 0 or x+1=0 or x-5=0
-> x = 0; x = -1 ; x = 5
Which interval notation represents the set of all numbers less than or equal to -6 or greater than or equal to -2
Answer: 1≤x<12
Step-by-step explanation:
The values that are greater than or equal 1 but less than 12 are values ranging from 1 to 11 i.e {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}. Note that 1 is included because the number is greater than or equal to 1 (1 included) and less than 12(12 not included).
x≥1 and x< 12
if x≥1, it means 1≤x
combining both inequality
1≤x and x<12
1≤x<12
The interval notation that represent the set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} will be given as S = {x: 1≤x<12}
y-3=4(x+2) solution for x and y please
Answer:
Solutions: (0,11) ; (1,15) ; (2, 19)
Step-by-step explanation:
y - 3 = 4(x +2)
y - 3 = 4x + 8
y = 4x + 8 + 3
y = 4x + 11
When x = 0 , y = 11 (0,11)
When x = 1 ; y = 4 +11 = 15 (1, 15)
When x = 2 ; y = 8 + 11 = 19 (2 , 19
Which statement does not describe a normal distribution?
A. The distribution can have two modes.
B. Most of the observations are near the mean.
C. The number of observations trails off as you move away from the
mean.
D. The median and mean are equal.
A .the distribution observation can have two modes
Find the LCM and the GCF of 100 and 120.
Answer:
Step-by-step explanation:
LCM is least common multiple. It means the least multiple that both 100 and 120 have in common. 600 is the LCM. 20 is the GCF.
What is the area of the triangle?
(-5,6)
(1,3)
(-5,-3)
Answer:
27
Step-by-step explanation:
Base is 6 - (-3) = 9
height is 1 - (-5) = 6
so Area = 9 * 6/2 = 27
Answer Pls I need this question
Answer:
T = 1.5
Step-by-step explanation:
If you count all the boxes with T in them there is 6 and if you divide 6 by 9 you get 1.5, 9 divided by 6 = 1.5
Hope this helps!
You spent $24 on baking ingredients, and you sell your cupcakes at a bake sale for $4 each. You sold 25 cupcakes. Did you make enough money to buy a $60 video game?
The value of a share of stock decreases in value at a rate of $2.70 per hour during the first 6.5 hours of
trading. Enter and solve an equation to find the decrease in the value of the share of stock during that
time. Let x represent the decrease in value of the share of stock during 6.5 hours.
Answer: the awnser will be 17.55$
Step-by-step explanation: cause you multiply 6.5 x 2.70