You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly
FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]
= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96
= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]
= 2981.17
Solve for the value of x. 6 ^ (- 2x) = 6 ^ (2 - 3x)
Answer:
x = 2
Step-by-step explanation:
Cause I know & I took the quiz
plz mark brainliest
How many cubic meters of water are required to fill a rectangular swimming pool 15m long and 10 m wide which is 2m deep throughout.How many liters is that?
Answer:
300,000 liters
Step-by-step explanation:
Let us have the measurements in cm
100 cm = 1 m
so the measurements are multiplied by 100
we have this as;
1500 by 1000 by 200
The volume is the product of the 3
This is :
1500 * 1000 * 200 = 300,000,000 cm^3
Mathematically, 1 liter = 1000 cm^3
300,000,000 cm^3 will be ;
300,000,000/1000 = 300,000 liters
Which of the following demonstrates the distributive property?
a) 3+ 5 = 5 + 3
b) 6+ (-6) = 0
c) (3x + 8) + 6 = 3x + (8 + 6)
d) -(x-3) = -x + 3
Answer:
c one demonstrates the distributive property
No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
solve using substitution
-5x+7y=-5
y=-5
x=?
So if you solve for x using the first equation, you get: x = 5y - 5.
From there you can plug that into the second equation which would give you:
7y-5y+5=-23
Simplifying from that point, you get y = -9.
Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
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What are the x-intercepts of f(x) = (x – 10(x + 10)
a) (0, -10) and (0, 10)
b) 10
c) 0
d) (10,0) and (-10, 0)
Subtract. Express your answer in lowest terms.
8 1/2 - 2 1/6
Answer:
[tex]6\frac{1}{3} or \frac{19}{3}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=8+1/2−2−1/6
Solving the whole number parts
8−2=6
Solving the fraction parts
1/2−1/6=?
Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.
LCD = 6
3/6−1/6=2/6
Reducing the fraction part, 2/6,
2/6=1/3
Combining the whole and fraction parts
6+1/3=6 1/3
SOMEBODY HELP PLZ IM STUCK
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?
Answer:
The jet will cover 2585 miles in 11 hours.
Step-by-step explanation:
Given that:
Distance travelled by jet in 2 hours = 470 miles
Speed of jet = [tex]\frac{Distance}{Time}[/tex]
Speed of jet = 470/2
Speed of jet = 235 miles per hour
Time = 11 hours
Distance travelled in 11 hours = Speed * Time
Distance = 235 * 11
Distance = 2585 miles
Hence,
The jet will cover 2585 miles in 11 hours.
1138 in expanded form
Answer:
(see below)
Step-by-step explanation:
To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:
1 in expanded form is 1.
11 in expanded form is (10 + 1).
111 in expanded form is (100 + 10 + 1).
So that means that:
1138 in expanded form is (1000 + 100 + 30 + 8).
Find the missing length
I WILL GIVE BRAINLIEST
Answer:
36+36+18=90. 90-60=30-6=24
30+30=60
Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1?
Answer:
Each day, you record the high temperature* (you don't necessarily need to say that it is for a science project). On Day 1, it was 4* less than Day 10**. It hit 62* F on Day 10. What was the high temperature on Day 1?
Because we know that on Day 1, the temperature was 4* less than on Day 10, and the high temperature on Day 10 was 62*, the high temperature on Day 1 was therefore 58*. Because 62 - 4 = 58.
Step-by-step explanation:
*You don't necessarily need to say that it was for a science project.
**The information for Day 4 is irrelevant too because we are not given the temperature for Day 4, therefore it does not help us find the answer.
A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?
1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite
Answer:
A Kite
Step-by-step explanation:
I know, almost 2 years late. It's a kite and I don't know why.
Huilan is 11 years older than Thomas. The sum of their ages is 65. What is Thomas's age?
Answer:
thomas's age is 38
Step-by-step explanation:
Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the mean of the sampling distribution of ˆ p A − ˆ p B ?
Answer:
0.02
Step-by-step explanation:
High schools A :
Percentage of participants in on the school athletic team = 20%
Pa = 20% = 0.2
High school B:
Percentage of participants in on the school athletic team = 18%
Pa = 18% = 0.18
The mean of sampling distributon is :
Pa - Pb
0.2 - 0.18
Hence, Mean of sampling distribution is 0.02
Which answers would be possible first steps?
Answer:
e i think or find out what x =
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
Write the following expression in standard
form:
- 6(5 - 2x) - 3x - 10
Answer:
Let's simplify step-by-step.
−6(5−2x)−3x−10
=9x−40
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
Mary crealed the equation y = 5x - 4 for a table and wondered what the output would be for x = -2. Solve for the outpum
A
y = -14
B
y = -1
y = 14
y = 6
Hey can someone please help me lol
Answer:
49.53 nautical miles
Step-by-step explanation:
Adding 36 and 21 we get 57 miles.
57 converted to nautical miles would be 49.53
If 3(x + 5) = 39, then what is x?
Answer:
x=8
Step-by-step explanation:
X=8 because 39/3 is 13 and 13- 5 is 8 and 5 and 8 add up to make 13 inside the parenthesis.
x = 8
Explanation:3(x + 5) = 39Divide Both Sides By 33(x + 5) / 3 = 39 / 3
Simplifyx + 5 = 13
Subtract 5 From Both Sidesx + 5 - 5 = 13 - 5
x = 8- PNW
which graph represents y=3x+2
Step-by-step explanation:
The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
The graph C represents y=3x+2
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
How to determine?The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
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The ratio of teachers to students at Priory School is 2:27
What is school's total population if there are 42 staff
Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y
Answer:
All the options are equivalent except;
4 + y
Step-by-step explanation:
The question relates to the number of ways the operation of a multiplication operation can be represented algebra
1) The coefficient of a variable is a multiplier of the variable
Therefore;
4y = 4 × y
2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied
Therefore;
(4)(y) = 4 × y
3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities
Therefore;
4·y = 4 × y
However, multiplication, and addition are different mathematical operations that produce different results when applied;
Therefore;
4 + y ≠ 4 × y.
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
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Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
