Answer:
$5938
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 2700
r = 6.25% = 0.0625
n = 1
t = 13
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents: [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply: [tex]\displaystyle A = 5938[/tex]A bank account starts with $3.00. The amount in the account doubles every year .
Answer:
Step-by-step explana
multiply it by 2 or sdd itself to it
The account will have $1536.007 after 9 years.
Part A:
To express the total amount of money A(t) in the account after 7 years, we can use the formula:
A(t) = P[tex](2^t)[/tex]
where:
A(t) is the total amount in the account after t years,
P is the initial amount in the account (starting with $3.00 in this case),
t is the number of years.
Substituting the values into the formula, we get:
A(t) = 3 ([tex]2^7[/tex])
A(t) = 3 x 128
A(t) = 384
Therefore, the total amount of money in the account after 7 years is $384.
B) To find out after how many years the account will have $1536.007, we need to solve the equation:
1536.007 = 3 [tex](2^t)[/tex]
Dividing both sides of the equation by 3, we get:
512.0023333333 = [tex]2^t[/tex]
Taking the logarithm (base 2) of both sides, we have:
log2(512.0023333333) = t
t = 9.000317.
Therefore, the account will have $1536.007 after 9 years.
Learn more about Equation here:
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Find the equation of the line with a slope of 2 and a point of (5,11)
PLEASE HELP !!!! THANKS !!!
Answer:
y=2x+1
Step-by-step explanation:
Hi there!
We are given the slope (m), which is 2, as well as the point (5,11).
We need to find the equation of the line.
There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept
We're already given the slope (2), so we can substitute it into the equation right away
here's the equation so far:
y=2x+b
now we need to find b.
We can do this by plugging (5,11) into the equation, as the line passes through that point.
Substitute x as 5 and 11 as y
11=2(5)+b
multiply
11=10+b
subtract 10 from both sides
1=b
substitute 1 as b into the equation
y=2x+1
Hope this helps! :)
Last question of the day :)
Answer:
yehshjdjejrdjjej3u Rudd ixjje
Can you do it thank for answer
Answer:
Step-by-step explanation:
a) 5 > 4 +x
4 + x < 5
Subtract 4 from both sides
x < 5 - 4
x < 1
b) 2 ≤ 6c + 14
6c + 14 ≥ 2
Subtract 14 from both sides
6x ≥ 2 - 14
6x ≥ - 12
Divide both sides by 6
x ≥ -12/6
x ≥ -2
c) -4 > 2b
2b < - 4
Divide both sides by 2
b < -4/2
b < -2
d)
[tex]7 \leq \frac{a}{3}[/tex]
[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]
Answer:
Below.
Step-by-step explanation:
(a). 5 > 4 + x
4 + x < 5 (Note that the sign is flipped)
x < 5 - 4
x < 1.
(b) and (c) are solved in the same way.
(d) 7 <= a/3
a/3 >= 7
Multiply both sides by 3
a >= 21.
(e) - as above.
(f) 6 >= 3(p + 2) - 11
3(p+2) - 11 <= 6
3p + 6 - 11 <= 6
3p - 5 <= 6
3p <= 6 + 5
3p <= 11
p <= 11/3.
A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)
Answer:
$5.76
Step-by-step explanation:
We solve using the formula of the area of a rectangular prism
A = 2(LW + LH + WH)
The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side
=2 × (4 × 10 + 4 × 10 + 4 ×4)
=192 square inches
If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:
1 square inch = $0.03
192 square inches = x
Cross Multiply
= 192 × $0.03
= $5.76
plzz help i only have like 5 minssssss
What is the volume of this rectangular prism if an edge of each cube is 1 cm?
Answer:
your answer is D. 24 cubic cm
Step-by-step explanation:
your welcome good day :)
Henry is buying orange juice to make punch for a party. He can buy the juice in 32-oz cartons for $2.56 each or 48-oz cartons for $3.36 each. Which is the better value? Use the drop-down menus to explain your answer.
Answer:
the 48
Step-by-step explanation:
fairly obvious
Which of the following terms can be combined in this expression?
13 minus x over 5 + 6.2 y + 20.5 x minus 3 over 8 y
Negative 13 can be combined with 20.5.
6.2 y can be combined with 20.5 x.
6.2 y can be combined with Negative 3 over 8 y.
Negative x over 5 can be combined with Negative 3 over 8 y.
Given:
Consider the expression is:
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
To find:
The like terms that can be combined in this expression.
Solution:
Two terms are called like terms, if they have same variables of same degree.
We have,
[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]
In the given expression, the pairs of likes terms are:
Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]
Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]
It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].
Therefore, the correct option is C.
PLEASE HELP HURYYYYYYYYY
Answer:
273 - 153.94 = 119.1 [tex]in^{2}[/tex]
Step-by-step explanation:
area of a trapezoid - area of a circle = shaded area
What is the 100th term of the sequence with a1=222 and d=-5
Answer:
--273
Step-by-step explanation:
100th term is equal a1 + 99d so
100th term = 222 + (-5×99) = -273
Find the quotient of
x3−4x2−4x+16x−2
Answer:
x^2 - 2x - 8.
Step-by-step explanation:
Using long division:
x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient
x^3 - 2x^2
-2x^2 - 4x
-2x^2 + 4x
- 8x + 16
-8x + 16
............
share 747 in the ratio 2:7 between Tom and Ben
Answer:
tom = 166, ben = 581
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
therefore 1 part = 83
83 x 2 = 166
83 x 7 = 581
tom has 2 parts so he has 166
ben has 7 parts so he has 581
Answer:
Tom has 166.
Ben has 581.
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
83 × 2 = 166
83 × 7 = 581
PLEASE HELP RN!! if any of you guys see this please help
Answer: A.46
Step-by-step explanation: because it jus is dawg
which tessellation uses more than one type of regular polygon?
Answer:
semi-regular tessellations
Step-by-step explanation:
find two consecutive whole numbers
Answer:
9 and 10
Step-by-step explanation:
square root of 86 is 9.2 (ish)
Which of these is an example of typing at a rate of 42 words per minute?
A typing 21 words in 2 minutes
B typing 84 words in 3 minutes
C typing 210 words in 5 minutes
D
typing 400 words in 10 minutes
8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how
long is the shadow cast by an apartment building that is 90 feet?
Answer:
D
Step-by-step explanation:
Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have
Answer:
Holly would have 20 1/10 sized ribbons.
Step-by-step explanation:
One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.
How many centimeters are there in 0.5 inches?
Answer:
1.27 centimeters
Step-by-step explanation:
brainliest??
what is the a value of the vertex form...
y = (x - 3 )^2 - 36
Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)
Step-by-step explanation:
Kinda did it-
David had 74 pennies and then lost 18. Now he wants to buy a treat that costs 2 sevenths of the pennies he has left. How many pennies does the treat cost?
HELP ASAP PLEASEEEEE!!!
Answer:
16 pennies
Step-by-step explanation:
74 - 18 = 56
56 / 7 = 8
1/7 of the pennies is 8 pennies.
2/7 of the pennies are 16 pennies.
Answer:
18 pennies
Step-by-step explanation:
74-18=56
56/7=8
8x2=16
Part A: Estindlate the solution from the graph. -
Part B: What is the equation of each line in the system? blue line: _ and red line:
Answer:
Part A
The estimated solution of the graph is (37/29, -30/29)
Part B
The equation of the blue line is y = 0.6·x - 1.8
The equation of the red line is y = (-4/3)·x + 2/3
Step-by-step explanation:
Part A
From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV
Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;
The points through which the blue line passes are (-2, -3), and (3, 0)
The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6
Therefore, we have;
y - 0 = 0.6·(x - 3)
∴ The equation of the blue line is y = 0.6·x - 1.8
The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)
The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3
Therefore, we have;
y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3
∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3
y = (-4/3)·x + 2/3
The solution for the graph is the point where the y-values are equal
Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3
0.6·x + 4/3·x = 1.8 + 2/3
x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28
At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29
Therefore, the estimated solution of the graph is (37/29, -30/29)
Part B
From the above solution of the graph, we have;
The equation of the blue line: y = 0.6·x - 1.8
The equation of the red line: y = (-4/3)·x + 2/3
Please help it's urgent!Need help quick!
Answer:
Solution
Step-by-step explanation:
Hope this helped :)
[tex]-a-\frac{7}{8} a[/tex]
paso a paso
Step-by-step explanation:
-a-7a/8
-8a-7a/8
-15a/8
Hope it helps you
Answer:
Step-by-step explanation:
WE have to find the least common denominator and it is 8
[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]
what is a three digit number for 100,10,1
Answer:
111
hope that helps!
19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD
Answer:
BCD
Step-by-step explanation:
You can easily find out by the points at the end of line. These points indicate that this is line segment.
help, with this question please. i’m not sure if anyone’s asked it yet.
are u taking a test Sir??
A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
[tex]r=\dfrac{8}{2}[/tex]
[tex]r=4[/tex]
The radius of the ball is 4 cm.
The volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get
[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]
[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]
[tex]V=267.946667[/tex]
[tex]V\approx 267.95[/tex]
Therefore, the volume of the ball is about 267.95.
Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE
Answer: 2760
Step-by-step explanation:
Please help me, I don’t understand how I keep getting it wrong!
9514 1404 393
Answer:
1.2 t/m³
Step-by-step explanation:
1 tonne is 1 Mg = 10⁶ g
1 m³ is (100 cm)³ = 10⁶ cm³
The conversion is ...
(1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)
= 1.2(10⁶)/(10⁶) t/m³
= 1.2 t/m³
__
For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.
