Answer:
$45.33
Step-by-step explanation:
First we find 4.25% of $3200 to find the interest in 1 year.
For simple interest, use this formula:
I = Prt
where
I = amount of interest
P = principal amount (the amount deposited or borrowed)
r = annual interest rate
t = number of years
We have
I = ?
P = $3200
r = 4.45% = 0.425
t = 1 year
I = ($3200)(0.0425)(1)
I = $136
The interest in 1 year is $136.
Now we convert 4 months to years
1 year = 12 months
4/12 = 1/3
4 months are only 1/3 of a year, so he pays only 1/3 of the interest of an entire year.
1/3 * $136 = $136/3 = $45.3333...
Answer: $45.33
The base of a triangle is 4 inches more than 3 times the height. If the area of the triangle is 66 square inches, find the base and height.
Answer:
base = b = 11
height = h = 2
Step-by-step explanation:
.5 * b * h = 11
.5 * (4h + 3) * h = 11
(4h + 3) * h = 22
4h2 + 3h = 22
4h2 + 3h - 22 = 0
(4h + 11) (h - 2) = 0
h = -11/4 OR h = 2
solve pls brainliest
Answer:
[tex]2.06[/tex]
Step-by-step explanation:
Divide 33 by 16.
[tex]2.0625[/tex]
6 is in the hundredth place. If you look at the thousandth place, a 2 is placed there, rounding [tex]2.0625[/tex] to [tex]2.06[/tex] in the hundredth place.
Hence, the answer is [tex]2.06[/tex].
find the area of a square with a side length of 1/5 in.
Answer:
.04 inches squared
Step-by-step explanation:
1/5 of an inch is .2
A = Length times Width
Since squares have 4 equal sides, its length is equal to its width.
0.2 times 0.2 = .04 in^[tex]^{2}[/tex]
What is the first step in simplifying the expression (2-3•4+5)^2 ?
(1) square 5
(2) add 4 and 5
(3) subtract 3 from 2
(4) multiply 3 by 4
Answer:
(4) multiply 3 by 4
Step-by-step explanation:
(2-3•4+5)²
Firstly multiply 3 by 4
(2-12+5)²
Then add 2 and 5
(-12+7)²
Now subtract -12 from 7
-5²
= (-5)(-5)
= 25
Thus, the first step in simplifying the expression (2-3•4+5)^2 is (4) multiply 3 by 4.
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answer:
%140 I think
Step-by-step explanation:
Double would be a %100 error
add %10 for every 100 after
Answer:52.4%
Step-by-step explanation:
Find the difference between the actual number and the estimated number. This difference is the part. Use it to write a part-to-whole ratio and then divide to find the percent error.
Work out the percentage change when a price of £10 is increased to £12.
Answer:
20%
Step-by-step explanation:
Use the percent change formula: difference = % * original cost
12 - 10 = 2
The difference is 2 and the original cost is 10. Now, we have the equation
2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!
The path of a skateboarder can be modeled by the equation (x – 4)2 = –4(y – 9), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 4 feet; horizontal distance 12 feet
Maximum height 5 feet; horizontal distance 10 feet
Maximum height 9 feet; horizontal distance 12 feet
Maximum height 9 feet; horizontal distance 10 feet
Answer:
Maximum height 9 feet; horizontal distance 10 feet
Step-by-step explanation:
First, let's get the distance out of they way
When the skateboard lands, her height will be at 0 feet, so y has to equal 0
(x - 4)² = -4(0 - 9)
(x - 4)² = -4(-9)
(x - 4)² = 36
Square root both sides
√(x - 4)² = √36
x - 4 = 6
Note that x - 4 = -6 is also possible
Add 4 to both sides
x - 4 = 6
+ 4 + 4
x = 10
Note that x = -2 is also an answer. but not valid
To find the max height
Remember our zeros? x = -2, x = 10
The number in the middle would be 4
Plug 4 in place of the x in the original equation
(4 - 4)² = -4(y - 9)
(0)² = -4(y - 9)
0 = -4(y - 9)
You can divide both sides by 4
0/4 = (-4(y - 9))/4
0 = y - 9
+ 9 + 9
y = 9
Vertex is (4,9); or in other words, 9 feet is the max height
Stella needs to make at least 8 cakes for a bake sale. A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour. She has at most 120 cups of flour.
Which system of inequalities represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?
A.
B.
C.
D.
Answer:
A. c + f > 8
5c + 3f < 120
Step-by-step explanation:
Let c = chocolate cakes
Let f = fruit cakes
She must make at least 8 cakes
c+f ≥8
A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour and she has only 120 cups of flour
5c+3f ≤120
The two equations are
c+f ≥8
5c+3f ≤120
What type of angle is shown below?
acute
straight
obtuse
right
Answer:
Acute
Step-by-step explanation:
So, straight would be a line, right would be like a corner of a square, acute would be less than a right, and obtuse would be more than a right but less than a straight.
20) In the town of Eagle Pass, 5 out of 13 vehicles are trucks. What
percent of the vehicles are trucks? Round to the nearest tenth. *
48.5%
38.5%
24.5%
12.5%
Answer:
38.5%
Step-by-step explanation:
5/13=38.5.........
Answer:
38.5%
Step-by-step explanation:
1. 5 - 13 = 0.38461538461
2. 0.3846 [1538461] - take away most of the extra numbers
3. 0.3846
4. Round it to the nearest tenth - 0.385
5. Take your answer and times my 100 - 0.385 * 100 = 38.5
and make that into a percentage - 38.5%
A movie theater sells out 7 times per month. Chloe counted 168 sellouts at the theater. How long was Chloe recording sales? a year
Answer: 2 years
Step-by-step explanation:
The rate is 7 sellouts/month.
(168 sellouts)/(7 sellouts/month) = 24 months, or 2 years at 12 months/year.
PLEASE HELP I DONT GET THIS
Step-by-step explanation:
(a) yes it is answer.
i cheak it is true.
In how many ways can 5 people sit in 5 chairs if Frankie and Johnny want to sit next to each other?
Answer:
48
Step-by-step explanation:
Can someone explain how you do this and not only give me the answer so I could know the formula?
Answer: 9/7 or 1 2/7
Step-by-step explanation:
Multiply 4 by the denominator and add 1:
29/7
Multiply 2 by seven (denominator) and add 6:
20/7
29/7 - 20/7 = 9/7
9/7 = 1 2/7
7 fits one time into nine and 2 is left.
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I provide detailed explanations for math questions for as little as $1!
5. Show that 12 is not a square number. Use a diagram, mathematical symbols
and then a word sentence.
Answer:
if y=x^2 the x and y chart would be as follows
x y
1 1
2 4
3 9
x 12
4 16
5 25
This shows that the x which would produce twelve is between three and 4 and thus not a perfect square
9<12<15 thus 3<x<4
12 is not a perfect square because the square of 3 is 9 and the square of 4 is 16, and since 12 lies between 3 and 4, we know that the number that would be squared to produce twelve must be a decimal between 3 and 4.
Step-by-step explanation:
A perfect square is a number that can be produced from squaring a counting number (...-3,-2,-1,0,1,2,3...)
This means that determining a perfect square comes down to knowing the squares of 1-10 so that you can create a table and determine where the number lies or between what numbers it would occur. If it is a perfect square it will already be on the table with little to no analysis necessary.
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
Snowy Ridge charges $28 for each hour of group snowboarding lessons.
Let x represent how much Snowy Ridge charges for each hour of group snowboarding lessons.
Since he rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all, hence:
175 = 5x + 35
5x = 140
x = $28 per hour
Therefore Snowy Ridge charges $28 for each hour of group snowboarding lessons.
Find out more at: https://brainly.com/question/13911928
Edna has a box of chocolates. There are 36 chocolates in the box, and one-ninth of them
contain nuts. How many chocolates in Edna's box contain nuts?
Answer: 4
Step-by-step explanation:
[tex](36)(\frac{1}{9} )[/tex]
= 4
please give me a brainliest answer
Sumo wrestler decided to go on a special diet to gain weight rapidly at a constant rate. After 8 months he weighed 138 kilos. He started at 90 kilos.
Complete equation for the relationship between the weight and number of months.
Answer:
138-90=48
48/8=6
6 kil I s per month
or 13.2 pounds per m o nth appoximztly
Consider the following polynomial inequality.
x^2(x+5)(x−6)>0
Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).
Separate multiple answers with a comma.
Answer:
Well, x^2(x+5)(x−6)>0= x<-5 or x>4
Step-by-step explanation:
Just have to simplify it as I can't type the equations right now.
The polynomial expression of inequality is x² ( x + 5 ) ( x - 6 ) > 0 is given by the values ( x < -5 ) and ( x > 6 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x² ( x + 5 ) ( x - 6 ) > 0
So , the values of x that are greater than 0 is given by
x² > 0
So , the value of x > 0
when ( x + 5 ) > 0
Subtracting 5 on both sides , we get
x < -5
when ( x - 6 ) > 0
Adding 6 on both sides , we get
x > 6
So , the inequalities are ( x < -5 ) and ( x > 6 )
Hence , the polynomial inequality is solved
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What is the answer to this question?
Answer:
27 23/25
Step-by-step explanation:
2/8+3/8=______ whole
Answer:
5/8
Step-by-step explanation:
Does -a squared = (-a) squared Explain why or why not.
Answer:
Yes
Step-by-step explanation:
This is because based on this equation PEMDAS/Order of operation says that you will get the same answer no matter whether there are parenthesis or not.
Given b = 40 and c=-16, b + c is equal to the product
of -4 and what number?
F.-14
G.-6
H.6
J.14
K. 160
Answer:
-6
Step-by-step explanation:
40-16=24
24/-4=-6
(b + c) is equal to the product of -4 and -6.
What is the Product of two numbers?The product of two numbers is the result you get when you multiply them together.
Given that b = 40 and c = -16
(b + c) = 40 -16 = 24
24 = -4*-6
Hence, (b + c) is equal to the product of -4 and -6.
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fraction in simplest form: 2/3 + 1/12
Answer:
3/4
Step-by-step explanation:
Jaimee is moving in with her dad next year, and she wants to know how much farther her trip to school will be from his house than it was from her mom’s house. Jaimee’s dad lives 12.65 miles from school, and her mom lives 4 1/6 miles from school. About how much farther will Jaimee have to travel to school?
PLEASE HELP ME ASAPP if can of not then just leave it
Answer:
b
Step-by-step explanation:
I have 50 questions to complete in 45 minutes. How much time per question can I have in order to complete all 50 questions in 45 minutes?
Answer:
54 Seconds per question
Step-by-step explanation:
45/50*60
PLEASE HELP WILL MARK BRAINLIEST!! (THANK YOU)
Answer:
1 - 58°
2 - 122°
3 - 58°
Step-by-step explanation:
Important notes:
• Vertical Angles Theorem - The angles that are opposite to each other on an intersection of 2 lines are always congruent.
• Linear Pair - The two angles that are formed when a straight line is split. Linear pairs are supplementary angles.
• Supplementary Angles - An angle pair whose total measure = 180°.
Angle 1 is supplementary to the angle with measure 122°.
So, ∡1 = 180 - 122.
∡1 = 58°
Based on the Vertical Angles Theorem, ∡1 ≅ ∡3, so ∡3 is also 58°.
Based on the Vertical Angles Theorem, ∡2 ≅ 122°, so ∡2 = 122°.
∡1 = 58°
∡2 = 122°
∡3 = 58°
On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip
Answer:
34 mph Is correct answer
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
(Hope this helps can I pls have brainlist (crown)☺️)
pls awnser (immediate)
Answer:
A. a route more than 27 miles per day.
Step-by-step explanation: