Michael deposited $2000 into a simple interest savings account. In eight years,
he has a total of $2520 in his account. What interest rate did the bank give
Michael when he opened his account?
a. 2.5%
b. 3.75%
C. 3.25%
d. 2.25%
Answer:
3.25%
Step-by-step explanation:
2520/2000=1.26
1.26-1=.26
.26/8=.0325
.0325*100=3.25%
Can someone please help me with math oh ya no links pls
I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am
12 am is right above 9 pm but it occurs before 9pm.
8 divided by 1 4/5.
Someone pls tell me the answer
Answer:
The answer is 40/9
Step-by-step explanation:
solve for X using either sine, cosine, or tangent
Answer:
•12.12
•56.92
Step-by-step explanation:
•Sin 30° = x ÷ 14√3
x=14√3 *Sin30
x=7√3
x=12.12
•Tan30°=6√3÷x
x=6√30 ÷Tan 30
x=18√10
x=56.92
Solve the system of equation
Answer:
plain = $10.50
pepperoni = $12.50
Step-by-step explanation:
x = pepperoni
y = plain
3x + 2y = 58.5
2x + 4y = 67
using substitution method, I multiplied the first system by -2 to get:
-6x - 4y = -117
+ 2x + 4y = 67
-4x = -50
x = $12.50
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = $10.50
The ratio of boys to girls at a party is 3:2.If there are 60 children at the party, how many girls are there?
Answer:
24girls
Step-by-step explanation:
3+2 =5
5=60children
2=?
24 girls
Which symbol correctly compares the mixed number and the improper
fraction?
3 4/6 ? 22/6
Select the boxes in the table to show whether the power of 10 is equal to 10^-3, Less then 10^-3, or greater than 10^-3, when written in scientific notation.
Answer:
I uploaded the answer to a file hosting. Here's link:
Step-by-step explanation:
help??????? please???????
Answer:
28 across and 21 down ( I think, cant really read the numbers)
Evaluate the function.
Answer:
Step-by-step explanation:
Nothing further can be done with this topic.
f ( x ) = 3 x 2 − 10 x − 9
Find x.
Round to the nearest tenth:
12 cm
22 cm
420
x = [? ]
Law of Sines: sin A
sin B
b
a
sin C
С
Enter
The value of x in the figure is 21.4
How to solve for x?To do this, we make use of the following law of sine
[tex]\frac{\sin (A)}{a} = \frac{\sin (B)}{b}[/tex]
Using the values in the question, we have:
[tex]\frac{\sin (x)}{12} = \frac{\sin (42)}{22}[/tex]
Multiply both sides by 12
[tex]\sin (x) = \frac{12\sin (42)}{22}[/tex]
Evaluate the quotient
[tex]\sin (x) = 0.3650[/tex]
Take the arc sine of both sides
x = 21.4
Hence, the value of x is 21.4
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For each ordered pair, determine whether it is a solution to the system of equations.
-3x+2y=1
4x-5y = 8
Is it a solution?
Х
5
?
Yes
No
(-6.2)
(3.5)
o
(-3. – 4)
o
(2.0)
Answer:
(-6, 2) NO
(3, 5) NO
(-3, - 4) YES
(2, 9) NO
What is b if 5(590-b)=100
Answer:
b=570
Step-by-step explanation:
5(590-b)=100
multiplying 5 with right hand side
2950-5b=100
2950-100=5b
2850=5b
2850/5=b
570=b
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C
Please help, I am not able to find the answer
Answer:
Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.
Step-by-step explanation:
The parent function for the "V-shape" is y=|x|. This particular function is translated to the left two units and down one. This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1. If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.
Find area of the shaded region.
PLZ I NEED HELP ASAP!!!
BRAINLIEST TO CORRECT ANSWER!!!
XTRA POINTS!!!
NO LINKS!!!
I WILL REPORT!!!
Answer:
area of shaded portion = 226.09 m²
Step-by-step explanation:
area of circle = πr² = (3.14)(18.6²) = 1086.314 m²
area of 123° segment = (123/360)(1086.314) = 371.157 m²
cos 61.5° = height/18.6 = 8.875
height of triangle = 8.875 m
sin 61.5° = 1/2base/18.6 = 16.346, base = 32.692 m
base of triangle = 32.692 m
area of triangle = 1/2bh = 1/2(8.875)(32.692) = 145.071 m²
area of shaded portion = 371.157 - 145.071 = 226.09 m²
In ΔPQR, the measure of ∠R=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ∠P to the nearest degree.
Step-by-step explanation:
given= in triangle PQR,<R=90⁰ QR=61 FEET RP=90 FEET
by using pythagoras therom ;
(hypotenuse)²=(side1)² +(side2)²
(PQ)²=(PR)²+(QR)²
(PQ)²=(90)² + (61)²
(PQ)²=8100 + 3721
(PQ)²=11821
TAKING SQUARE ROOTS ON BOTH SIDES, WE GET;
PQ= 108 feet
<P = thita
sin ⁰ = opposite/hypotenuse
sin⁰ =QR/PQ
SIN⁰ =61/108
SIN⁰ =0.56
there amgle P measures 0.56 degree
Answer:
34
Step-by-step explanation:
its right
Pls, Pls, Pls help! NO LINKS
Answer:
[tex]2 \times 9 = 3 \times y \\ y = 18 \div3 = 6 \\ 6 \times 3 = x \times 5 \\ x = 18 \div 5 = 3.6[/tex]
The data show the number of pieces of mail delivered to a single home address each day for three weeks.
4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2
Which statement is true about a graph representing the data? Select two options.
The number line of a dot plot would start at 1.
A dot plot would show 7 points for numbers greater than 2.
The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.
A histogram would have a maximum of 7 bars.
A histogram should not show a bar that includes 0 pieces of mail.
Answer:
B) A dot plot would show 7 points for numbers greater than 2.
D) A histogram would have a maximum of 7 bars.
Step-by-step explanation:
quiz on edg told me ;)
The true statements are:
B. dot plot would show 7 points for numbers greater than 2.
D. histogram would have a maximum of 7 bars.
What is a Dot Plot and a Histogram?A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.
In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.
Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.
Therefore, the true statements are:
B. dot plot would show 7 points for numbers greater than 2.
D. histogram would have a maximum of 7 bars.
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Decrease 117kg in the ratio 10:13
Answer:
50.87 : 66.13.
Step-by-step explanation:
10/(10+13) * 117
= 10 * 117 / 23
= 50.87.
117 - 50.87 = 66.13.
When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13
Then, we get two equations as:
[tex]x + y = 117[/tex]
[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]
From the second equation, we get x in terms of y as:
[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]
Putting this value of x in first equation, we get:
[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)
And therefore, from the expression for x, we get:
[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)
Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
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A 16 ft monument consists of a rectangular prism and a square pyramid, as shown below. If the exposed surfaces of the monument are to be covered with one-inch square tiles, determine approximately how many tiles will be needed.
Answer and Step-by-step explanation:
The actual answer is 348.
4 rectangles with area 60 each, which, when added together, equals 240.
1 square with area 36.
Each triangle face is 18 each, so 72.
Add those together and the answer is 348 [tex]ft^2[/tex] :).
#teamtrees #PAW (Plant And Water)
Which equation has the same solution as x^2 - 8x - 15 =3
Answer:
x^2 - 6x -18 is the same so you can write
x^2 - 6x -18 = ( x^2 - 8x - 15 = 3)
Step-by-step explanation:
When we subtract 3 each side we get -18 as -15 -3 is -18
x^2 - 6x -15 = 3
x^2 - 6x -15- 3 =
x^2 - 6x - 18 = 0
When equations equal or set equal to zero we can then use the quadratic formula found in your book.
x1
= −(−8) − √ (−8)2 − 4×1×(−18) / 2×1
= 8 − 2 × √ 34
/2
≈ −1.831
x^2
= −(−8) + √ (−8)2 − 4×1×(−18)
/2×1
= 8 + 2 × √ 34 / 2
≈ 9.831
Fishing Hook E is at 7.1 feet. It descends another 3.25 feet. What is its depth now?
Answer:
The depth the Hook is at would be 10.35 feet
Step-by-step explanation:
It is down 7.1 feet already and when it descends 3.25 feet it is now even lower
Hi plz help me I will also do them just to make sure :)
Answer:
1) C - The estimate of the product is 10
2) A - The estimate of the product is 20
3) A - The estimate of the product is 20 (It is the same question as #2^)
4) A - The estimate of the product is 9
5) B - The product of the product of 7
Step-by-step explanation:
Hope it Helps!
:)
Answer:
it's A, maybe it is.
Step-by-step explanation:
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"For evil to flourish, it only requires good men to do nothing."- Simon Wiesenthal
Simon Wiesenthal is a holocaust surviver. Although many different variations of this quote exists, this provides us a more haunting view of the world. Explain what this quote means. Explain if you agree or disagree with this quote. Finally, explain if you think it is difficult for "good men" to speak up of out? This should be in 3-5 sentences
Answer:
I disagree with this quote. I think this quote means that good men should relax and make the others do the work. I think it could be hard at times for good men should to speak up for a couple of reasons. I think it could be hard for men to speak up because they could be embarrassed or at certain times they wouldn't know what to do so they would freak out. Just because it may be hard to speak up doesn't mean they should be lazy and relax, they should still help in my opinion.
Step-by-step explanation:
A car accelerates from a resting position to 100 mi/hr in 7 seconds. What is the acceleration?
what is 6.75 as a fraction in simplest form
Answer:
6.75
=> 675/100
=> 135/20
=> 27/4A circular plate has circumference of 30.1 inches. What is the area of this plate? Use 3.14 for pi
Answer:
Area of a circle=Πr²
Getting r from:
circumference of a circle=2Πr
30.1 =2(3.14)r
30.1 =6.28r
4.8 =r
Area=3.14(4.8)²
=3.14(23.04)
=72.3
The area of the circular shaped plate is given by A = 71.536 inches²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circular plate be r
Now , circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference of the plate is 30.1 inches, so we can set up an equation:
30.1 = 2πr
Solving for r:
r = 30.1 / (2π)
r ≈ 4.788 inches (rounded to three decimal places)
Now that we know the radius, we can use the formula for the area of a circle:
A = πr²
Plugging in the value of r:
A = 3.14 x ( 4.788 )²
A ≈ 71.536 inches²
Hence , the area of the circular plate is approximately 71.536 square inches
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The shapes below are mathematically similar.
8 cm
20 cm
12 cm
х
Calculate the length of side x.
Answer:
30cm
Step-by-step explanation:
Because of the polygon similarity postulate (PSP) 8/12=20/x
8/12=20/x
20/(8/12)=x
20*12/8=x
x=30 cm
The length of side x is 30 cm when the shapes below are mathematically similar.
To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.
8 cm corresponds to 20 cm
12 cm corresponds to x (unknown)
Using the concept of proportionality, we can set up the following equation:
(8 cm) / (20 cm) = (12 cm) / (x)
To find x, we can solve this equation:
Cross-multiplying:
8 cm * x = 20 cm * 12 cm
Simplifying:
8x = 240 cm²
Dividing both sides by 8 to isolate x:
x = 240 cm²/ 8
x = 30 cm
Therefore, the length of side x is 30 cm.
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Simplify:
7+7÷7+7⋅7−7
Answer:
50
Step-by-step explanation:
7+7/7+7x7-7
7+1+7x7-7
7+1+49-7
8+49-7
57-7
50
Answer:
50
Step-by-step explanation:
7 + 7 ÷ 7 + 7 ⋅ 7 - 7
7 + 1 + 49 - 7
7 + 50 - 7
50 - 7 + 7
50