Answer:
22 years approx.
Step-by-step explanation:
Step one
Given data
Principal P= $850
final amount A= $1125
rate r= 12.6%
Calculate time, solve for t
t = ln(A/P) / r
Step two:
Substitute
t= ln (1125/850)/0.0126
t=ln 1.32/0.0126
t= 0.277/0.0126
t=21.9
t= 22 years approx.
Work out the value of (6.8 x 10^2) x (1.3 x 10^-3)
Answer:
worked it out.
Step-by-step explanation:
0.884
8×84×10-1
solve: x2 + 8x - 9 = 0
please i need it urgently
Answer:
x = 1 or x = -9
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 8 x - 9 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 9 to both sides:
x^2 + 8 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 25
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 25
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = 5 or x + 4 = -5
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = 1 or x + 4 = -5
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = 1 or x = -9
The numbers 20 through 30 are written on cards and placed in a box. Explain whether the events of choosing a number that is a multiple of 3 or choosing a number that is a multiple of 4 are mutually exclusive.
A. Mutually Exclusive
B. Not Mutually Exclusive
Answer:
A. Mutually Exclusive is the correct answer
The events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
What is Mutually Exclusive ?Mutually Exclusive means when two sets have no common elements.
What is Not Mutually Exclusive ?Not Mutually Exclusive means when two sets share common elements.
We have,
Cards numbered [tex]20[/tex] to [tex]30[/tex].
Let's
Set [tex]A =[/tex] Multiple of [tex]3[/tex]
i.e. Set [tex]A = \ \{ 21, 24,27,30\}[/tex]
Set [tex]B =[/tex] Multiple of [tex]4[/tex]
i.e. Set [tex]B = \{20,24,28\}[/tex]
So, Set [tex]A[/tex] and Set [tex]B[/tex] have common element [tex]24[/tex], so we call them Not Mutually Exclusive, from the mentioned definition we find out this.
Hence, we can say that the events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.
To know more about Not Mutually Exclusive click here
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If the area of a circle is 25pi (n), what is the radius of the circle
Answer:
5
Step-by-step explanation:
the are is pi times radius times radius
so do the square root of 25, which is 5.
this means that the radius is 5
Answer:
five (5).
Step-by-step explanation:
Area of circle =pi r^2
given that area is 25pi
now equate both .....we get
25pi=pi r^2
25=r^2
r=5
In AGHI, h = 300 inches, ZG=30° and ZH=29º. Find the length of i, to
the nearest inch.
find the equivalent expression for (x + 7)(x + 1)
Answer:
x² + 8x + 7
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x + 7)(x + 1)
Step 2: Expand
Expand [FOIL]: x² + x + 7x + 7Combine like terms: x² + 8x + 7Answer:
[tex](x + 7)(x + 1) = {x}^{2} + 7x + x + 7 \\ = {x}^{2} + 8x + 7 \\ Answer:\: \: \: \: \: \: \boxed{{x}^{2} +8 x + 7}[/tex]
evaluate the following:
csc(0)=
sec(0)=
cot(0)=
Answer:
Step-by-step explanation:
we need that theta angle .. soooo.... use SOH CAH TOA to remind yourself how the trig functions fit on the triangle.....
since we have all 3 side any one of the above trig functions would work. as a side note.. Tan is limited to the 1st quadrant on a calculator.. so maybe Cos is a good choice. although it would work in this case....
sooo ....
Cos(Ф) = Adj / Hyp
Ф = arcCos( 24 /25)
Ф ≈16.26°
I don't have csc on my calculator but I know that 1/sin = csc sooo
csc(16.26)=1/sin(16.26) ≈ 3.57
sec(16.26)= 1/cos(26.26) ≈ 1.041
cot(16.26) = cos(16.26) / sin(16.26) ≈3.476
Answer:
csc(0)= 25/7
sec(0)= 25/24
cot(0)= 24/7
Step-by-step explanation:
Which of the following is equal to [(x^2 y^3)^-2/x^6 y^3 z)^2]^-3
Answer:
it's A,B and D , Edge 2021
Step-by-step explanation:
Answer:
The person over me is right, the correct answers are A,B and D.
Step-by-step explanation: I got them right. Edge 2021.
Determine if the following
is a function
This is not a function because the numbers show no pattern and are very inconsistent. You can see if there is a pattern after the second line; you can see if the third line follows the pattern from the 1st and 2nd line, which it does not in this case.
May I have brainliest please? :)
How should an online components be delivered?
Answer:
By mail
Step-by-step explanation:
by mail
HAVE A NICE DAY!!!!!!
You can paint 75 square feet of a surface every 45 minutes. Determine how long it takes you to paint a wall with the given dimensions. 8 ft $\times$ 5 ft
Answer:
24 minutes
Step-by-step explanation:
The Dimensions of the wall are given as:
8ft × 5ft = 40ft² or 40 square feet
We are told that: You can paint 75 square feet of a surface every 45 minutes.
Hence:
75 ft² = 45 minutes
40 ft² = x minutes
Cross Multiply
75 ft² × x = 40 ft² × 45 minutes
x = 40 ft² × 45 minutes/75 ft²
x = 24 minutes
Therefore, It will takes you 24 minutes to paint a wall with dimensions 8ft × 5 ft
Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS
Step-by-step explanation:
Using Pythagoras' Theorem, we have
x² + 10² = (12√3)²
Therefore x² = (12√3)² - 10²
= (144)(3) - (100) = 332.
=> x = √332 = 2√83. (B)
Is the expression 2(5-4) numerical or algebraic
Please help asap
Answer:
Numerical
Step-by-step explanation:
This is a numerical expression because there are no variables; there are only numbers.
Answer:
The expression is numerical.
Step-by-step explanation:
It is numerical because it contains numbers and operations. Algebraic expressions contain variables.
100 POINTS plus a Brainiest
The table represents an exponential function.
What is the ratio of outputs for any two inputs that are two values apart?
Divide the larger output by the smaller output.
Enter your answer, as a decimal to the nearest hundredth, in the box.
Answer:
0. (45) 1. (51.71) 2. (48.24) 3. (55.44) 4. (59.43)
Step-by-step explanation:
Ill be so sorry if I get it wrong I did the math and this is what I got so if I get it wrong tell me ;w;
Answer: 1.15
Step-by-step explanation:
Complete this table
3°
3
32
38
34
35
36
1
3
9
27
729
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
hope it helps! please mark me brainliest
thank you!! have a good day ahead..
Answer:
this is 3⁴= 81 and 3⁵= 243
Find the angle represented by x. (rounded to the nearest tenth of a degree)
Use the diagram below to solve for x and y. Please help! Fast if possible.
Answer:
x = 27
y = 29
Step-by-step explanation:
Does this problem have a solution yes or no?
Answer:
Yes.
Step-by-step explanation:
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
Residents of three counties were polled to find the percentage of residents who are Republican or Democrat. A 4-column table with 4 rows. The first column has no label with entries county 1, county 2, county 3, total. The second column is labeled Democrat with entries 4,050; 3,925; 2,100; 10,075. The third column is labeled Republican with entries 2,470; 6,010; 5,950; 14,430. The fourth column is labeled total with entries 6,520; 9,935; 8,050; 24,505. Find the following relative frequencies to the nearest tenth of a percent. Republican residents of County 1: % Democratic residents of County 1: % Total Republican residents: % Total Democratic residents: %
Using the concept of relative frequency, it is found that:
Republican residents of County 1: 37.9%.Democratic residents of County 1: 62.1%.Total Republican residents: 58.9%.Total Democratic residents: 41.1%.----------------------------------
A relative frequency is the number of desired outcomes divided by the number of total outcomes.
To find it as a percentage, we multiply by 100%.
----------------------------------
The table used is the image at the end.
----------------------------------
County 1 has 6,520 residents, out of which 2,470 are Republican.
2470*100%/6520 = 37.9%
Thus:
Republican residents of County 1: 37.9%.
----------------------------------
County 1 has 6,520 residents, out of which 4,050 are Democratic.
4050*100%/6520 = 62.1%
Thus:
Democratic residents of County 1: 62.1%.
----------------------------------
Total of 24,505 Residents, 10,075 Democrats and 14,430 Republicans.
10075*100%/24505 = 41.1%
14430*100%/24505 = 58.9%
Thus:
Total Republican residents: 58.9%.
Total Democratic residents: 41.1%.
A similar problem is given at https://brainly.com/question/20630951
Answer:
Find the following relative frequencies to the nearest tenth of a percent.
Republican residents of County 1: 10.1%
Democratic residents of County 1: 16.5%
Total Republican residents: 58.9%
Total Democratic residents: 41.1%
Correct on Edge! :)
Determine the circumference of a circle with a radius of 4 in. Use 3 as a estimate for \PiΠ
Answer:
24
Step-by-step explanation:
im not sure why 3 is estimat efor pi, usually 3.14
2pi*r
2*4*3 = 24
A granola recipe calls for 2 1/3 (mixed number 2 and 1/3) cups of almonds. A bag of almonds contains 2 cups. To make 2 1/2 (mixed number 2 and 1/2) batches of granola, Ali buys 5 bags of almonds. How many cups of almonds will he have left over?
Answer:
4 1/6 cups of almonds left
Step-by-step explanation:
Granola recipe = 2 1/3 cups of almonds
2 1/2 batches of granola = 2 1/3 cups of almonds × 2 1/2
= 2 1/3 × 2 1/2
= 7/3 × 5/2
= (7*5)/(3*2)
= 35/6
= 5 5/6 cups of almonds
A bag of almonds = 2 cups
5 bags of almonds = 10 cups
Cups of almonds left = 10 cups - 35/6 cups
= 60-35/6
= 25/6
= 4 1/6 cups
Please help, find the measure of angle 1 (geometry)
Write an equation to find x by substituting.
3. What does it mean to substitute here?
5x - 2 = 3x +4
Answer:
3
Step-by-step explanation:
5x-2=3x+4
5x-3x=4+2
2x=6
x=3
Translate the word phrase into a math expression.
11 fewer than the quotient of 2 and a number
11−(n÷2)
11−n÷2
11−(2÷n)
2÷n−11
Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?
Answer:
3
Step-by-step explanation:
60 × 8 = 480 (mins)
96 (trucks) = 480 (mins)
÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)
3 = 15
So 3 trucks would have been loaded in 15 mins
I am three years younger than my brother and I am two years older than my sister my mom's age is 1 less than three times my brothers age when you add all these ages up you get 87 what are our ages
Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years
Step-by-step explanation:
Step 1
Let my age be represented as x
My brother's age be represented as x+3
My sister's age =x-2
and my mum's age be 3(x+3)-1 with the total of all our ages = 87 Giving us the equation
x+ x+3+ x-2+ 3(x+3)-1 = 87
Step 2 ---Solving
x+ x+3+ x-2+ 3(x+3)-1 = 87
x+ x+3+ x-2+ 3x+9 -1 = 87
6x + 9= 87
6x= 87-9
6x= 78
x =78/6 = 13
Therefore my age = 13years
My brother's age = x+ 3 = 13+3= 16years
My sister's age = x-2 =13-2 = 11years
my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years
Given: f(x) =x-7 and h(x)=2x+3
Write the rule for h(f(x))
Answer:
I think it is c I hope at least
Answer:
2x-11
f(x)= x-7
h(x)= 2x+3
Step-by-step explanation:
h(fx)= 2(x-7)+3
= 2x -14 +3
= 2x - 11
Solving One Step Equations. SHOW YOUR WORK
x - 7 = 13 solve to find x
Answer:I'm guessing 2
Step-by-step explanation:
Answer:
X=20
Step-by-step explanation:
x-7=13
x=13+7
X=20
Use the figure at the right to answer questions 9-12.
Answer:
9.) 5x - 18 = 4x + 7 10.) x = 25 11.) m∠MNQ = 107° 12.) m∠MNR = 73°
Step-by-step explanation:
9. & 10.)
∠MNQ and ∠RNP are vertical angles meaning they are equivalent to each other. Knowing that, we can set their values equal to each other and solve for x.
5x - 18 = 4x + 7 (Given)
x - 18 = 7 (Subtract 4x on both sides)
x = 25 (Add 18 on both sides)
Therefore, we know the equation is 5x - 18 = 4x + 7 and we know that x = 25.
Now we can solve for the angles.
11.)
5(25) - 18
125 - 18 = 107
Therefore, m∠MNQ = 107°.
12.)
∠MNR and ∠MNQ are supplementary angles meaning their angles will add up to 180°
∠MNR + 107 = 180
∠MNR = 73
Therefore, m∠MNR = 73°.