now, let's notice that 23 days is not even a month let alone a year, assuming there are 365 days in a year, then 23 days is really 23/365 of a year.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$11.88\\ P=\textit{original amount deposited}\dotfill & \$1200\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{23}{365} \end{cases}[/tex]
[tex]\bf 11.88=(1200)(r)\left(\cfrac{23}{365} \right)\implies 11.88=\cfrac{(1200)(23)r}{365}\implies 11.88=\cfrac{27600r}{365} \\\\\\ 4336.2=27600r\implies \cfrac{4336.2}{27600}=r\implies 0.157\approx r \\\\\\ \stackrel{\textit{converting that to a percentage}}{0.157\cdot 100 \approx r}\implies \stackrel{\%}{15.7}\approx r[/tex]
Andy ran the 100-meter dash in 13.4 seconds. Below is a table showing Andy's heart rate during the race. What parent function does Andy's data best represent? Time (in seconds) Heart Rate 0 61.1 5 85.6 9 105.2 11 115 13.5 122.3 A. a linear function B. a cubic function C. a square root function D. an absolute value function
The diameter of a basketball is 9.47 inches. What is the length of 12 basketballs lined up next to each other?
A) 112.92 inches B) 21.47 inches
B) 116.88 inches C) 108 inches
Answer:
B) 116.88 inches
Step-by-step explanation:
we know that
To find out the length of 12 basketballs lined up next to each other, multiply the diameter of one basketball by 12
[tex]12(9.47)=113.64\ in[/tex]
therefore
The logical answer between the options is 116.88 inches, because the length cannot be less than 113.64 in
How do I solve the rest of this problem?
Answer:
Step-by-step explanation:
continuing from the 3rd line....
10x - 1 = 10x + 8 (subtract 10x from both sides)
10x - 10x - 1 = 10x -10x + 8
-1 = + 8 (this last line is not part of the solution but i'm showing it here so you can see what is going on, obviously -1 cannot be 8)
Since -1 ≠ 8, the equation has no (i.e zero) solutions
If the two spinners below are spun, what is the probability that the numbers will match
Answer:
Yes, you are correct :)
Answer:
1/4
Step-by-step explanation:
7. Triangle RPQ is similar to triangle WPV. Find the missing length PW.
Answer:
PW = 11
Step-by-step explanation:
Given that the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{RQ}{WV}[/tex] = [tex]\frac{RP}{PW}[/tex] ← substitute values
[tex]\frac{12}{6}[/tex] = [tex]\frac{22}{PW}[/tex] ( cross- multiply )
12PW = 132 ( divide both sides by 12 )
PW = 11
Hong traveled 37.9 miles each day for the past 6 days. How many miles did he travel in all?
Answer:
227.4 miles
Step-by-step explanation:
If Hong travelled 37.9 each day, then in 6 days :
37.9 × 6 = 227.4 miles
Answer:
227.4 miles hope this helps :3
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest and the other is expected to earn 4%. Plans are for the total interest on the fund to be $1,150 in one year. How much money should be invested at each rate
Answer:
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x ------> the amount of money that should be invested at the rate of 5.25%
25,000-x -----> the amount money that should be invested at the rate of 4%
in this problem we have
[tex]t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150[/tex]
substitute in the formula above
[tex]I=P_1(r_1t)+P_2(r_2t)[/tex]
[tex]1,150=x(0.0525*1)+(25,000-x)(0.04*1)[/tex]
Solve for x
[tex]1,150=0.0525x+1,000-0.04x[/tex]
[tex]0.0525x-0.04x=1,150-1,000[/tex]
[tex]0.0125x=150[/tex]
[tex]x=\$12,000[/tex]
[tex]|$25,000-x=\$13,000[/tex]
therefore
The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000
Answer:
Step-by-step explanation:
Let x be the investment at 5.25% and y at 4%
Then we have
[tex]x+y =25000\\5.25x+4y = 115000[/tex]
We have to solve this system to get x and y
Multiply I equation by 4
[tex]100000=4x+4y\\115000=5.25x+4y\\-----------------------------\\15000 = 1.25x\\x = 12000\\y =25000-12000 = 13000[/tex]
12000 should be invested in 5.25% and 13000 in 4% interest.
What is the slope of a line parallel to the line x = 5?
Answer:
Undefined
Step-by-step explanation:
The slope of a line parallel to the line x = 5 is undefined because the line would be a straight vertical line. Vertical lines don't have a slope because it is impossible to measure rise/run. Hope this helps!
what is the coefficient of determination for this data set.....the answer is 0.91
The coefficient of determination for this data set would be 0.91
What is Correlation Coefficient ?A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.
The correlation coefficient for this data set will be positive, since the dependent variable increases as the independent variable decreases.
Since the data appears to be fairly linear, the correlation coefficient will be close to 1 which means 0.91 is our best choice.
Hence, The coefficient of determination for this data set would be 0.91
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401,378 in word form
Answer:
Step-by-step explanation:
four hundred one thousand, three hundred seventy-eight
Let find x=3x+1 and g x=1-5x
The corresponding composite function for (f∘g)(x) include the following: (f∘g)(x) = 4 - 15x.
In Mathematics and Geometry, a function composition is an operation (∘) that combines two functions f(x) and g(x), in order to produce a composite function h(x) = (g∘f)(x), such that h(x) = g.
In this exercise, we would determine the corresponding output values for the given composite function by using the substitution method as follows;
f(x) = 3x + 1
g(x) = 1 - 5x
(f∘g)(x) = 3(1 - 5x) + 1
(f∘g)(x) = 3 - 15x + 1
(f∘g)(x) = 4 - 15x.
Complete Question:
Let f(x)=3x+1 and g(x)=1-5x. Find (f∘g)(x).
Which of the two real numbers are greater? The square root of 3 or 1/3
Answer:
√3 is greater than 1/3:
√3 = about 1.7
1/3 = about .3
The square root of 3 is greater than 1/3.
To determine which of the two real numbers is greater, we can compare their values directly. The square root of 3 is a well-known irrational number, and its approximate value is 1.732. On the other hand, 1/3 is a rational number with a value of approximately 0.333.
Let's compare the two:
- The square root of 3: [tex]\sqrt(3)[/tex] = 1.732
- One third: 1/3 = 0.333
It is clear that 1.732 (the approximate value of √3) is greater than 0.333 (the approximate value of 1/3). Therefore, the square root of 3 is greater than 1/3.
13) zy + 4y; use y=5, and z=2
Answer:
30
Step-by-step explanation:
Substitute the given values for y and z into the expression
zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30
Answer:30
Step-by-step explanation:2x5+4x5=30
2(48)+2(8w)+2(6w)=208 please explain
Answer:
w=4
Step-by-step explanation:
2(48)+2(8w)+2(6w)=208
1) Start by Distributing the value outside of the parenthesis:
96+16w+12w=208
2) Combine alike terms:
96+28w=208
3) Subtract 96 from both sides:
28w=112
4)Divide both sides by 28 to isolate w:
w=4
Let me know if you do not understand :)
The graph shows the relationship between the late fines the library charges and the number of days late
Answer:
[tex]y=0.25x[/tex]
Step-by-step explanation:
We are given that a graph which shows the relationship between the late fines the library charges and the number of days late.
From given graph we can see that
The graph passes through the points (2,0.5) and (10,2.5).
We have to find the equation for the relationship.
Slope formula:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula
Slope of graph=[tex]m=\frac{2.5-0.5}{10-2}[/tex]
Slope of graph=m=[tex]\frac{2}{8}=\frac{1}{4}[/tex]
Point slope- form:[tex]y-y_1=m(x-x_1)[/tex]
We have [tex]y_1=2.5,x_1=10[/tex]
Substitute the values then we get
The equation of for the relationship
[tex]y-2.5=\frac{1}{4}(x-10)[/tex]
[tex]y-2.5=0.25x-2.5[/tex]
[tex]y=0.25x-2.5+2.5=0.25x[/tex]
Hence, the equation for the relationship is given by
[tex]y=0.25x[/tex]
Please answer this correctly
Answer:
Step-by-step explanation:
41:2
41:43
This is because the question wants the number of burgers with onions to the total amount of burgers. The question already states 41 have onions. It also states the total amount of burgers is 43. Therefore, your answer is 41:43.
use equivalent ratios to find unknown value plz halp!!!!
Answer:
21
Step-by-step explanation:
It might be 21/30 , hope it helps though :)
Answer:
21 is the un known value.
Step-by-step explanation:
10 times 3=30
7 times 3 = 21
so 21/30 is your answer.
What is the volume of the right square pyramid shown?
Answer:
C. 32 cm³
Step-by-step explanation:
[tex] {a}^{2}\frac{h}{3} = V[/tex]
[tex]({4})^{2}( \frac{6}{3}) = (16)(2) = 32[/tex]
a → length\base edge
I am joyous to assist you anytime.
Answer:
Step-by-step explanation: To find the area of the pyramid shown, we can first start by finding the area of the base. To find the area of the base, we can multiply the length by the width. Notice that both the length and the width of a square are equal so the area of a square will be equal to the length of a side multiplied by the length of a side.
Area = Length x Width = (side) (side)
Area = Side²
(4 cm²) = 16 cm².
Therefore, the area of the bases is 16 cm².
Now, let's finish the problem.
Image provided.
y=3x-5 complete missing value in the solution to the equation (1,_) i cant find the second point
[tex]\bf y = 3x - 5\qquad \qquad \boxed{(\stackrel{x}{1}~~,~~\stackrel{y}{?})}\qquad \qquad y = 3(\stackrel{x}{1})-5\implies y = -2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (1,-2)~\hfill[/tex]
Mary wants to make cookies. To make cookies she needs half a cup of flour per batch of cookies. If Mari has 5 cups of flour how many batches can Mari make?
10!
There's two halves in a whole. So we could do 5 x 2 to get our answer. Hope this helps!
700+a=3944-b=c-80=3000
Answer:
A = 3244
B = 864
C = 3080
Step-by-step explanation:
700 + a = 3944
-700 -700
a = 3244
3944 - b = c - 80 = 3000
c - 80 = 3000
+80 +80
c = 3080
3944 - b = c ---> 3944 - b = 3080
-3944 -3944
-b = -864 ---> [tex]\frac{-b}{-1} = \frac{-864}{-1}[/tex]
The solution to the system of equations is:
a= 2380,
b= 864
c= 3080
The given equations are:
1. [tex]\(700 + a = 3944 - b\)[/tex]
2. [tex]\(3944 - b = c - 80\)[/tex]
3. [tex]\(c - 80 = 3000\)[/tex]
From equation 3, we can solve for [tex]\(c\)[/tex]:
[tex]\[c - 80 = 3000\][/tex]
Adding 80 to both sides:
[tex]\[c = 3080\][/tex]
Now, substituting this value of [tex]\(c\)[/tex] into equation 2:
[tex]\[3944 - b = 3080\][/tex]
Solving for [tex]\(b\)[/tex] :
[tex]\[b = 3944 - 3080\]\\b = 864\][/tex]
Finally, substituting the values of [tex]\(b\)[/tex] and [tex]\(c\)[/tex] into equation 1:
[tex]\[700 + a = 3944 - 864\]\\700 + a = 3080\][/tex]
Solving for [tex]\(a\)[/tex]:
[tex]\[a = 3080 - 700\]\\a = 2380\][/tex]
So the solutions for the variables are [tex]\(a = 2380\), \(b = 864\), and \(c = 3080\)[/tex].
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name the property of real numbers illustrated by the equation (2+ √5) + 3=2 + (√5+3)
please help
Answer:
it's associatively property of addition
(a+b)+c= a+(b+c)
What fraction represents 0.1875 ft?
Answer:
There is not much that can be done to figure out how to write 0.1875 as a fraction, except to literally use what the decimal portion of your number, the .1875 , means. Since there are 5 digits in 1875 , the very last digit is the "100000th" decimal place. So we can just say that .1875 is the same as 1875/100000.
Step-by-step explanation:
Answer:
fraction decimal
3/16 0.1875
hope this helps :3 & sorry if its wrong
today my i am twice my daughters age. in 20 years i will be 1.5 times her age how old is she
Good morning ☕️
______
Answer:
She is 20 years old
____________________
Step-by-step explanation:
Let x be the age of the daughter.
Let y be the age of the mother.
then , we have to solve the system:
y=2x (1)
y+20=1.5(x+20) (2)
If we substitute y by 2x in the second equation we get :
(2) 2x+20=1.5(x+20) ⇔ 2x+20=1.5x+30 ⇔ 2x-1.5x=30-20
⇔ 0.5x=10 ⇔ x=20.
By the way the mother’s s age = 40 years.
:)
The table shows the revenue for four companies in 2013.
What is the difference in revenue between the company with the greatest revenue and the one with the least revenue?
A. 2.2 × 10 (to the power of) -3
B. 2.2 × 10 (to the power of) 3
C. 6.79 × 10 (to the power of) 6
D. 6.79 × 10 (to the power of) 7
NEED HELP ASAP!
Greatest revenue = Company D with 6.8 x 10^7
Least revenue = Company C with 9.0 x 10^4
Difference = 6.8 x 10^ 7 - 9.0 x 10^4
= 68000000 - 90000
= 6.79 x 10^7
Answer is D
The difference in revenue between the company with the greatest revenue and the one with the least revenue is 6.79 x [tex]10^7[/tex]
Option D is the correct answer.
We have,
From the table,
D has the greatest revenue.
C has the lowest revenue.
Now,
D revenue = 6.8 x [tex]10^7[/tex]
C revenue = 9 x [tex]10^4[/tex]
The difference in revenue between the company with the greatest revenue and the one with the least revenue.
= 6.8 x [tex]10^7[/tex] - 9 x [tex]10^4[/tex]
= 67910000
= 6791 x [tex]10^4[/tex]
= 6.79 x [tex]10^7[/tex]
Thus,
The difference in revenue between the company with the greatest revenue and the one with the least revenue is D. 6.79 x [tex]10^7[/tex]
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What is the solution set of 4x2 - 36 = 0?
4x^2 - 36 = 0
4x^2 = 36
x^2 = 36/4
x^2 = 9
sqrt{x^2} = sqrt{9}
x = - 3 and x = 3
Name the vertex and sides of each angle
Answer: 7) vertex = ∠H sides = HG and HI
8) ∠H, ∠IHG, ∠GHI, ∠4
9) ∠HVI, ∠HVJ, ∠IJV
NOTES:
1) The vertex is the point where the two segments, rays, or lines connect.
2) When naming an angle, the vertex is ALWAYS written in the middle with the sides on the left and right.
You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent
the price of the shirt and y represent the price of the pants. Write an equation
that can be used to find the price of the shirts and pants.
Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.
Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the price of the pants and shirts.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the price of the shirt
y ---> he price of the pants
we have that
The price of three shirts plus the price of two paints must be equal to $300
so
[tex]3x+2y=300[/tex]
This is the equation of the line in standard form
Convert to slope intercept form
[tex]y=mx+b[/tex]
Isolate the variable y
[tex]3x+2y=300[/tex]
subtract 3x both sides
[tex]3x+2y-3x=-3x+300[/tex]
[tex]2y=-3x+300[/tex]
Divide by 2 both sides
[tex]y=-1.5x+150[/tex] ----> equation of the line in slope intercept form
Find out the x-intercept
Remember that the x-intercept is the value of x when the value of y is equal to zero
In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero
Using the Standard Form, identify the x-intercept of the graph
The standard form is
[tex]Ax+By=C[/tex]
The x-intercept is C/A
we have
[tex]3x+2y=300[/tex]
so
[tex]300/3=100[/tex]
The x-intercept is the point (100,0)
That means---> The price of the shirt is $100 when the price of the paints is equal to $0
Alternative method to find out the x-intercept (equation in slope intercept form)
[tex]y=-1.5x+150[/tex]
For y=0
[tex]0=-1.5x+150[/tex]
solve for x
[tex]1.5x=150[/tex]
[tex]x=\$100[/tex]
The x-intercept is the point (100,0)
Answer:
you should give the person who first answered this brainliest
Step-by-step explanation:
1. Write 306,000,004,210 in words.
Answer:
three hundred and six billion, four thousand, two hundred and ten
Which expression is equivalent to 28(15+9) ?
28 + 15 x 28 +9
28 x 15 +9
28 + 15 + 28 +9
28 x 15+28 x 9
The expression 28(15+9) can be simplified and rewritten using the distributive property as Option D. 28 x 15 + 28 x 9. This is the correct equivalent expression.
To determine which expression is equivalent to 28(15+9), we should first simplify the expression inside the parentheses:
Step 1: Simplify inside the parentheses: 15 + 9 = 24.
Step 2: Multiply by 28: 28 x 24.
Now, let's break it down further:
Using distributive property: 28(15+9) can be rewritten as 28 x 15 + 28 x 9, which will result in distributive multiplication.
28 + 15 x 28 +9: Incorrect, this misinterprets the operations.28 x 15 +9: Incorrect, this does not distribute multiplication correctly.28 + 15 + 28 +9: Incorrect, this is simply adding all terms.28 x 15 + 28 x 9: Correct, this distributes the multiplication as required.Therefore, the equivalent expression is Option D. 28 x 15 + 28 x 9.
Complete question:
Which expression is equivalent to 28(15+9) ?
A. 28 + 15 x 28 +9
B. 28 x 15 +9
C. 28 + 15 + 28 +9
D. 28 x 15+28 x 9