Answer:
The answers is 367.87
Step-by-step explanation:
The interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
For the considered case, the unit of time is weekly.
In 7 years, there can be at least 1 leap year, and at max 2 leap years.
In 7 years, therefore, the number of days are between [tex]6 \times 365 + 366[/tex] and [tex]6 \times 365 + 366+1[/tex] or say in between 2556 and 2557
Since each week has 7 days, therefore, the number of weeks these days will have is approx [tex]\dfrac{2556}{7} \approx 365.14[/tex] (assumed there are 2556 days in 7 years).
This approximates to 365 weeks (integer quantity)
Thus, we get:
Unit of time is weekRate of interest per week = 2.12%Type of interest applied = Compound interestUnits of week for which interest is applied is approx 365Initial amount deposited = $2300Thus, the amount of interest that Nolan will earn is approx:
[tex]CI = P(1 +\dfrac{R}{100})^T - P\\\\CI \approx 2300(1 + 0.0212)^{365} - 2300 \approx 2300 \times 2115.65 - 2300\\CI \approx \$4,863,465[/tex]
Thus. the interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.
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5x-x/y when x=4 and y=2
5x-x/y when x=4 and y=2
5(4)-4/2
20-2
18
Dmitry runs 3.1 miles on Saturday,shown by the model. He runs 2.45 on Sunday. How much farther does he run on Saturday
Answer:
0.65 miles.
Step-by-step explanation:
Dmitry runs 3.1 miles on Saturday.
He runs 2.45 miles on Sunday.
On Saturday he runs 3.1 - 2.45 = 0.65 miles farther.
Dimitry ran 0.65 miles farther on Saturday than that during Sunday.
Distance travelled in miles by Dmitry on Saturday, d₁ = 3.1 miles
Distance travelled in miles by Dmitry on Sunday, d₂ = 2.45
The difference in the distance travelled by Dimitry during Saturday and Sunday can be calculated by subtracting the distance travelled on Sunday from that during Saturday.
Subtraction is the activity or process of determining the difference between two amounts or numbers. The phrase taking away one number from another is also used to describe the act of subtracting one number from another.
So,
The difference between the distances, d = d₁ - d₂
d = 3.1 - 2.45
d = 0.65 miles
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a person who weigh 200 pound on earth would weght about 32 pound on the moon find the weght of person on earth who would weight 15 pound of the moon
if five times a number is subtracted from 39 the result is the same as eight times the number what is the number
39 - 5x = 8x
Add 5x to both sides.
39 = 13x
Divide both sides by 13.
x = 3
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. How many laps does she swim on Monday?
A principal of $1,000 is invested in an account paying an annual interest rate of 6%.
A(t) = P(1+(r/n))^(nt)
A(5) = 1000(1+0.12/2)^(2*5)
A(5) = 1000(1.06)^(10)
A(5) = $1790.85
1000 x 6%= 1000 x .06
1000 x .06 = 60
The principal is getting $60 every year for their annual interest rate.
Hope I helped!
Good Luck!
What is the perimeter of the park?
We are given a triangle with dimensions of the three sides as :
first side: 10x+3x²-8 feet
second side: 12x feet
third side: (15x+4) feet
Now perimeter of triangle is given by:
Perimeter = sum of three sides
So adding the three sides:
Perimeter = 10x+3x²-8 + 12x +15x+4
combining like terms and simplifying:
Perimeter = 3x²+37x-4
Answer: The perimeter of park will be (3x²+37x-4) feet.
What's 5/6 of a gallon?
y=8-2x when x=8 the value of y
Answer:
-8
Step-by-step explanation:
Given that x and y are two variables. they are related by the function
y =8-2x
Since x and y are related, given one value we can find the other using this equation.
In our question, given that x =8
Substitute x value in the equation
y = 8-2x
y =8-2(8) = -8
Hence answer is -8:
Verify: We verify by putting -8 for y and check whether x =8
-8=8-2x
Or 2x = 16
x =8
Verified
a wheel has 16 spokes. How many spaces are there between the spokes?
If 2 rectangles have the same perimeter do they have to he congruent
Hey there!
Your answer is no.
I'll give an example to prove this wrong for you.
We have one rectangle with the dimensions of 2 x 6 units and another rectangle with dimentions of 4 x 4 units.
The perimiter of the first one is 16 because the four sides added up is 16: 2 + 2 + 6 + 6 = 16
The perimiter of the second is also 16. 4 + 4 + 4 + 4 = 16
So, they both have the same perimeter, but they are not congruent because their sides are different lengths.
Hope this helps!
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily. In how many days will the second warehouse have 1.5 times more coal than the first one? I NEED THIS IN 5 MINS
Given
One warehouse had 185 tons of coal, another one had 237 tons
The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.
Find out in how many days will the second warehouse have 1.5 times more coal than the first one.
To proof
Let us assume that the number of days of delivered the coal = x
Take two cases
First case
As given in the question
One warehouse had coal = 185 tons
The first warehouse delivered 15 tons of coal to its clients daily
(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for first warehouse
= ( 185 - 15x)
( this equation represent the amount of coal left after x days)
Second case
second warehouse had coal = 237 tons
the second one delivered 18 tons of coal to its clients daily.
(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for the second warehouse
= ( 237 - 18x)
( this equation represent the amount of coal left after x days)
As given in the question
the second warehouse have 1.5 times more coal than the first one
Thus
( 237 -18x ) = 1.5× ( 185 - 15x)
237 - 18x = 277.5 - 22.5x
22.5x - 18x = 277.5 - 237
4.5x = 40.5
x = 9
Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.
Hence proved
Evaluate
4
E (2n-1)
n=1
16
the simplest way to evaluate is to substitute n = 1, 2, 3, 4 into the expression and sum the terms
= [(2 × 1) - 1 ] + [(2 × 2) - 1 ] + [(2 × 3) - 1] + [(2 × 4) - 1]
= 1 + 3 + 5 + 7 = 16
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base. After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen. He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse.
If x represents the length of the pen and y represents the area of the doghouse, then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse?
The sequence is 3,6... is multiplying by 2 correct or adding 3?
The sequence is adding by three
your answer is multiplying by 2
5d-4=4-d
solve the equation
Answer: d = 0
Step-by-step explanation:
5d - 4 = 4 - d
+d +d
____________
6d - 4 = 4
-4 -4
__________
6d = 0
__ __
6 6
d = 0
[tex]5d-4=4-d\\\\6d=8\\\\d=\dfrac{8}{6}=\dfrac{4}{3}[/tex]
Write an equation for the relationship between time and distance for each horse
An equation for the relationship between time and distance for each horse include the following;
horse A; y = 1/4(x).
horse B; y = 5/2(x).
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable or distance.x represents the x-variable or time.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) for each horse by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k of A = 1/4 = 8/2
Constant of proportionality, k of B = 5/2 = 10/4.
Therefore, the required linear equation for horse A is given by;
y = kx
y = 1/4(x)
Also, the required linear equation for horse A is given by;
y = kx
y = 5/2(x)
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If a strip is 10 times as big as the unit and the mat is 100 times as big as the strip, how many times is the mat bigger as the unit?
A strip is x10 of the unit
A mat is x100 of the strip.
Multiply 10 with 100
100 x 10 = 1000
The mat is x1000 of the unit.
hope this helps
Given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip, the mat is 1000 times bigger than the unit. This illustrates the concept of multiplication with powers of ten in real measurements.
Explanation:The question asks how many times the mat is bigger than the unit, given that the strip is 10 times as big as the unit and the mat is 100 times as big as the strip.
This maths problem involves the multiplication of sizes. Here's the step-by-step solution:
Each strip is 10 times as big as the unit, so if we assign U as the unit, the strip would be 10U. The mat is 100 times as big as the strip, which has been defined as 10U, so the mat would be 100 * 10U = 1000U.
Therefore, the mat is 1000 times bigger than the unit. This exhibits how we deal with real measurements and the use of powers of ten in multiplication.
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-1/4u+3/2=-6 solve for U
[tex]-\dfrac{1}{4}u+\dfrac{3}{2}=-6\qquad|\cdot4\\\\\not4^1\cdot\left(-\dfrac{1}{\not4_1u}\right)+\not4^2\cdot\dfrac{3}{\not2_1}=4\cdot(-6)\\\\-u+2\cdot3=-24\\\\-u+6=-24\qquad|-6\\\\-u=-30\qquad|\cdot(-1)\\\\\boxed{u=30}[/tex]
The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter? A. 1.93 x 102 kg/m3 B. 1.93 x 104 kg/m3 C. 1.93 x 108 kg/m3 D. 1.93 x 10–1 kg/m3
The density of gold in kilograms per cubic meter is 1.93 x 10³ kg/m³.
Explanation:The density of gold is 19.3 g/cm³. To find the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and cubic centimeters to cubic meters.
1 g/cm³ = 1000 kg/m³.
Therefore, the density of gold in kg/m³ is 19.3 x 1000 = 1.93 x 10³ kg/m³.
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During a sparsely attended basketball game, 18 spectators cheered when Luca made two free throw shots, 6 spectators booed, and 32 spectators were silent. What's a simplified ratio of the number of spectators who cheered for Luca to the number of people who attended the game?
Answer:
9/28
Step-by-step explanation:
There are a total of 18+6+32 = 56 spectators.
Out of this total number, 18 cheered for Luca; this gives us the ratio
18/56.
Both of these are even numbers. This means we can divide both by 2:
(18÷2)/(56÷2) = 9/28
What fraction of 20 is 18?
Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
[tex]\text{x = } \dfrac{18}{20}[/tex]
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer
★ What fraction of 20 is 18?
In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.
Here is your current fraction:
[tex]\frac{x}{20}[/tex]
After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.
Here is your fraction:
[tex]\frac{18}{20}[/tex]
You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.
[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]
You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.
Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.
If you have any questions, feel free to ask in the comments! :)
what is the contrapositive of the following statement
The Contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of the statement 'If two triangles are congruent, then their corresponding angles are congruent' is:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
The contrapositive of a conditional statement exchanges the hypothesis and conclusion, and negates both.
In this case, we negate the hypothesis 'two triangles are congruent' and the conclusion 'their corresponding angles are congruent.'
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If a+b=−2a + b = -2a+b=−2a+b= -2 and x+y =−2 what is 4x+5a+4y+5b?
[tex]a + b = -2\ and\ x + y = -2\\\\4x + 5a + 4y + 5b = (4x + 4y) + (5a + 5b) = 4(\underbrace{x + y}_{=-2}) + 5(\underbrace{a + b}_{=-2})\\\\=4(-2)+5(-2)=-8+(-10)=-18[/tex]
What is the decimal expansion for 1/9
The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.
Explanation:The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.
It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.
For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.
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which soil can not be rolled up into balls or clumps
Sand
Because as you may be able to see it just goes through your fingers.
For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.
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[tex] \frac{4}{9}x = \frac{1}{6} [/tex]
kind of struggling, can anyone help?
Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?
Line a
Line b
Line c
Line d
What is the slope of the line and what does it mean in this situation?
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Line D Represents Teresa's statement
I think the slope could be choice 4 The slope is 400ft This means that the Helicopter ascends 400ft a minute
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
Answer:
it's 68,66, and mean
Step-by-step explanation:
i did it on edge mu hehehehehehe