Answer:
$28009.05
Step-by-step explanation:
Let us use the formula A = P(1 + r/n)^(nt)
Step 1: Convert 7.25 to decimal
[tex]7.25\% = 0.0725[/tex] in decimal form
Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).Step 2: Solve with the formula
[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]
Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]If each square on the grid represents 400 miles how many miles would Jacob's family travel in total
Answer:
80miles
Step-by-step explanation:
400=L
L[tex]\sqrt{400[/tex]
=20
to find p
4L
4(20=80
how to write a relative frequency
Answer:
To find a relative frequency you need to divide the total number of x in the frequency to the total number. This can be represented as a fraction, decimal, or percent.
Step-by-step explanation:
For example,
The ball landed 3 times out of 40.
3/40 = 7.5%
Step-by-step explanation:
To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 20. Relative frequencies can be written as fractions, percents, or decimals. Cumulative relative frequency is the accumulation of the previous relative frequencies.
Example: Your team has won 9 games from a total of 12 games played: the Frequency of winning is 9. the Relative Frequency of winning is 9/12 = 75%
10 mins to submit please help FAST
Answer:
Step-by-step explanation:
I got 408.33. dont know how to help you out
When multiplying fractions we don’t have to worry about finding (blank) why?
SOMEONE HELP PLEASEEEEEEEE
Answer:
a common denominator
Step-by-step explanation:
im giving points and brainliest
Answer:
cool
Step-by-step explanation:
ok
If u can, Can u show the working on typeing it or just tell the answers;)
PLZ HELP I WILL MARK BRAINLIEST
NO LINKS!!!
The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday
Answer:
We can conclude that the room temperature on Saturday was 24°C
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean of the set is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, our set is the temperature of 7 days (so we have 7 elements)
{T₁, T₂, T₃, T₄, T₅, T₆, T₇}
Such that:
T₆ = temperature on Saturday
T₇ = temperature on Sunday.
We know that:
"The mean room temperature from Monday to Saturday is 25°C"
Then:
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]
"the mean room temperature of Saturday and Sunday is 28°C"
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
"The mean room temperature from Monday to Sunday is 26°C"
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]
So we have 3 equations.
Let's rewrite:
T₁ + T₂ + T₃ + T₄ + T₅ = A
Then we can rewrite our equations as:
[tex]\frac{A+ T_6}{6} = 25 C[/tex]
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]
Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:
A + T₆ = 6*25
T₆ + T₇ = 2*28
A + T₆ + T₇ = 7*26
We now need to solve that system for T₆
The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:
A = 6*25 - T₆
A = 150 - T₆
Now we can replace this on the other two equations:
T₆ + T₇ = 2*28
(150 - T₆ ) + T₆ + T₇ = 7*26
Now, let's isolate T₇ in the top equation to get:
T₇ = 2*28 - T₆
T₇ = 56 - T₆
Now we can replace this in the last equation to get:
(150 - T₆ ) + T₆ + (56 - T₆) = 7*26
Now, we can solve this for T₆
150 - T₆ + T₆ + 56 - T₆ = 182
-T₆ = 182 - 150 - 56
-T₆ = -24
T₆ = 24
We can conclude that the room temperature on Saturday was 24°C
How much would $300 invested at 7% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent.
Answer:
8400 cents
Step-by-step explanation:
SI=P×T×R
100
300×4×7
100
=$84
=8400 cents
Answer:
$396.94
Step-by-step explanation:
formula:
[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]
which rounds to 396.94
HELP!!! =∆=
Applying the Pythagorean theorem, solve this triangle.
Answer:
c = sqrt(106)
Step-by-step explanation:
Since this is aright triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 9^2 = c^2
25 +81 = c^2
106 = c^2
Taking the square root of each side
sqrt(106) = sqrt(c^2)
c = sqrt(106)
what is the solution to 8t - 2 - 9t < 5?
Answer:
t > -7
Step-by-step explanation:
8t - 2 - 9t < 5
Combine like terms
- 2 - t < 5
Add 2 to each side
-2-t+2 < 5+2
-t <7
Multiply each side by -1, remembering to flip the inequality
t > -7
Alice draws a triangle and measures two of the angles with a protractor. The angle measures are 65 and 45. Cal says the measure of the third angle is 60. Explain why Cal's answer is incorrect.
Answer: Cal's answer must be incorrect because the sum of angles is incorrect.
Step-by-step explanation:
The sum of all interior angles of a triangle is 180 degrees.
According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.
Sum of angles = 65+45+60
i.e. Sum of angles = 170 which is not equal to 180
Hence, Cal's answer must be incorrect because the sum of angles is incorrect.
Write each expression using exponents.
3/8 * 3/8 * 3/8=
Answer:
3/8^3
Step-by-step explanation:
the exponent is 3
Answer:
(3/8)^3
3^3 * 2^-9
Step-by-step explanation:
3/8 * 3/8 * 3/8 = (3/8)^3
= 3^3 * (1/8)^3 = 3^3 * (2^-3)^3 = 3^3 * 2^-9
Answer this for me real quick
Answer:
[tex] \frac{x}{ {a}^{2} } [/tex]
Step-by-step explanation:
Matthhh
Answer:
x/a^2
Step-by-step explanation: Please tell me if this is right or wrong
Which of the following choices is NOT one of the six tenses of verbs?
past participle
future perfect
future
present perfect
Answer:
past participle
Step-by-step explanation:
all of the other ones are correct
Triangle ABC is congruent to Triangle DEF. What corresponds with
Answer:
<E
Step-by-step explanation:
Answer:
∠E is the answer I believe
If i'm wrong correct me!!
(°◡°♡).:。
Greatest common factor of 15,75
15........hope it helps
Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?
Answer:[tex]31.17\ in[/tex]
Step-by-step explanation:
Given
Edge length of cube is [tex]a=18\ in.[/tex]
From the figure, distance between the opposite corner of the tank is
[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]
Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]
[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]
Volume of Cube = a³
side a = 5 Cm
Volume = 5³ = 125 Cm³
Answer:
125m³
Step-by-step explanation:
GIVEN :-
Length of a side of a cube = 5mTO FIND :-
Volume of cubeGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Volume of a cube = a³ (where a = length of each side of a cube)
SOLUTION :-
Volume of the cube = 5³ = 125 m³
The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.
Which number best describes the range of the data in the box-and-whisker plot?
A. 25
B. 15
C. 10
The number that best describes the range of the data in the box-and-whisker plot is 15.
What is the range?A box plot is used to study the distribution and level of a set of scores the scores are distributed into 4 groups. Each group has a value of 25%. The box plot consists of two lines and a box. the two lines are known as whiskers. the whiskers represents the minimum and maximum values.
Range = maximum value - maximum value
20 - 5 = 15
To learn more about box plots, please check: https://brainly.com/question/27215146
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Please help with this
Answer:
A
Step-by-step explanation:
The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection
Find the missing parts (I will give brainliest)
Answer:
a-d=90
e= 34
f= 56
g= 56
h= 34
i= 34
j= 56
k= 56
Which of the following represents 2x-5y + 15 = 0 written in slope-intercept form?
Oy=x+3
Oy=2x-3
Oy=-3x+3
Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*
Probability that the two numbers are multiples of 3 after replacing first
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odd integers from11 to 22 are
11,13,15,17,19,21
So there are 6 events
Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.
One number out of these 2 numbers can be chosen in 2 ways.
Therefore, favourable number of elementary events = 2.
Required probability =2/6=1/3
Hence 1/3 is the probability that the two numbers are multiples of 3 after replacing first
To learn more on probability click:
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Please help me its 2:24am and im really tired but im trynna get this done so please someone help
THE CORRECT ANSWER IS 57 CM³!
How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)
Answer:
59.50
Step-by-step explanation:
Can someone explain this to me I already know the answer is 50 but how is it 50?
what is the smallest angle of this triangle
17,26,29
HURRY PLEASE!!!!!! Boden's account has a principal of $300 and a simple interest rate of 4.4%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
A wire was bent into the shape of a rectangle with width 5 and length 7 . If this wire
is bent into the shape of a square, what is the length of a side of the square?
A) 3
B) 6
C) 24
D) 35
Answer:
B | 6
Step-by-step explanation:
First, find the length of the wire by finding the perimeter of the rectangle
2(5) 2(7) = 24
If a square has 4 sides, put 24 as the numerator and 4 as the denominator.
24/4
Now, divide it and you'll get 6, the answer.