The number of years it takes for the balance in your savings account to reach $5625.41 is 11 years
How to calculate compound interestThe formula for calculating compound interest is expressed as;
A =P(1+r)^t
Given the following
A = $5625.41
P = $4000
r = 0.031
Substitute the given parameters into the formula to have:
$5625.41 = 4000(1.031)^t
1.4063525 = (1.031)^t
t = ln(1.4063525)/ln(1.031)
t = 0.34074/0.03052
t = 11 years
Hence the number of years it takes for the balance in your savings account to reach $5625.41 is 11 years
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2. You need to use 2/3 of a can of pizza sauce to make a pizza. The
can contains 1 lb 2 OZ of sauce. How many ounces do you need
for the pizza?
I really need this now I’ll give a bunch of points
Answer:
Step-by-step explanation:
The can contains 1 pound + 2 oz
1 pound = 16 oz
1 can = 16oz + 2oz
1 can = 18 oz
2/3 can = 18 oz * 2/3
2/3 can = 18 oz/1 * 2/3
Multiply the numerator * numerator divide by (denominator * denominator)
2/3 can = 36 / 3
2/3 can = 12 oz.
You could do this by cancelation, but you may not know that yet.
Madeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1. 5 ft. One gallon of paint will cover 400 square feet of wall. How many gallons of paint will Madeline use? Enter your answer as decimal in the box.
The amount of paint required by Madeline will be 0.8325 gallons
What amount of paint will be required by Madeline?Given that
[tex]1cm=1.5ft[/tex]
We will first find the area of the wall
Area of the wall = Area of trapezoidal shape+ Area of triangular shape
Area of trapezoid = [tex]\dfrac{a+b}{2} \times h[/tex]
a= 4cm
b=14cm
h=10cm
putting this values
[tex]A=\dfrac{4+14}{2} \times 10[/tex]
[tex]A=90cm^{2}[/tex]
Area of triangular shape= [tex]\dfrac{1}{2} \times width\times height[/tex]
width=14cm
height=8cm
putting the values
[tex]A=\dfrac{1}{2} \times 14\times 8=58cm^{2}[/tex]
[tex]Total area of the wall= 90+58=148cm^{2}[/tex]
since we have
[tex]1cm=1.5ft[/tex]
[tex]148cm^{2} = 148\times (1.5)^{2} =333 ft^{2}[/tex]
Now
[tex]1gallon = 400ft^{2}[/tex]
so for [tex]333 ft^{2}[/tex] amount of paint in gallons required will be
[tex]1ft^{2} =\dfrac{1}{400} gallons[/tex]
[tex]333ft^{2} =\dfrac{333}{400} gallons=0.8325gallons[/tex]
Thus the amount of paint required by Madeline will be 0.8325 gallons
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really need help on this
Answer:
9
Step-by-step explanation:
[tex] \sqrt{3 {}^{4} } =( 3 {}^{4} ) {}^{ \frac{1}{2} } = {3}^{2} = 9[/tex]
0.075538 to 2 decimal place
0.081770 to 3 significant figure
Answer:0.08
0.0818
Step-by-step explanation:
Can the sides of a triangle have lengths 3.4, 11.6, and 12.6?
What is the GCF of 16s3t, 40s5, and 68t2?
4
4s3t
8
8s3t
Answer:
4
Step-by-step explanation:
What would be the correct notation for the following line
Answer:
Its A :))
Step-by-step explanation:
Multiply. Assume p, q, and r are greater than or equal to zero, and write your answer in the simplest form.
radical 11p^4 q^3 r · 2 radical 385p^4 r
Answer:
[tex]{22p^4qr\sqrt{35q[/tex]
Step-by-step explanation:
I am interpreting what you wrote as [tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}[/tex], sorry if that's not what you meant!
We rewrite [tex]385[/tex] as [tex]5 \cdot 7 \cdot 11[/tex]. Since the radicals have the same index, the expression can be written as
[tex]\sqrt{11p^4q^3r} \cdot2\sqrt{385p^4r}=2\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}[/tex].
Multiplying like terms, the expression simplifies to
[tex]2\sqrt{5\cdot7\cdot11^2p^8q^3r^2}\\[/tex].
Taking out the perfect square factors, [tex]11^2, p^8, q^2,[/tex] and [tex]r^2,[/tex] we get
[tex]2\cdot11p^4qr\sqrt{5\cdot7q[/tex], or
[tex]\boxed{22p^4qr\sqrt{35q}}[/tex].
[tex]\begin{align*}\\\sqrt{11p^4q^3r} \cdot\sqrt{385p^4r}=\sqrt{11p^4q^3r\cdot5\cdot7\cdot11p^4r}\\=\sqrt{11^2p^8q^3r^2}\\\end{align*}[/tex][tex]\begin{align*}\sqrt{5*4}\\\end{align*}[/tex]
100 POINTS FOR CORRECT ANSWERS
Answer:
1. Polynomial
2. Not a polynomial
3. Not a polynomial
4. Not a polynomial
5. Not a polynomial
6. Not a polynomial
Step-by-step explanation:
Answer:
the first three are polynomials; the remainder are not
Step-by-step explanation:
A polynomial is a sum of terms with non-negative integer powers of the variables.
The first three expressions are all polynomials; the last three are not.
__
The rational expression with a variable in the denominator is a "rational function", but is not a polynomial. The expressions containing |x| and √x are not expressions that have x to an integral power.
The coefficients of the polynomials we generally deal with are usually integers or fractions. However, there is no requirement that they be rational or real. The second expression is still a polynomial even though it has irrational coefficients.
Select all equations that are equivalent to 8 + 3x = -2(11)
a. 8 + 3x 2(11)
b. 8+3x/2 = -11
c. -8 -3x = 2(11)
d. 2(8+3x) = -4(11)
e. 11x = -22
Answer:
HERE
Step-by-step explanation:
All equations equivalent to 8+3x = -2(11) are:
2(8+3x) = -4(11) and -8 - 3x = 2(11)
please mark brainliest!This composite figure is made up of three simpler shapes. What is the approximate area of the figure? Use 3.14 for pi.
A. 33.56 square inches
B. 33.28 square inches
C. 27.28 square inches
D. 39.56 square inches
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(3)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(4)(3)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (2)^2}}\implies 15~~ + ~~6~~ + ~~2\pi \stackrel{using~\pi =3.14}{\implies 27.28}[/tex]
can someone help me with this question please
Answer: I feel like it’s d..
Step-by-step explanation:
Rewrite the following equation in slope intercept form. 7x - 20y = -11
Answer:
y=7/20x+11/20
Step-by-step explanation:
7x-20y=-11
20y=7x-(-11)
20y=7x+11
y=7/20x+11/20
Solve the equation by completing the square.
X^2 – 12x = 13
First we add (-12/2)^2 to both sides to get
x^2 - 12x + 36 = 49.
Then square root each side and solve.
A. {46, 55}
B. {-15, 27}
C. {-1, 13}
D. {-21, 33}
Answer:
C
Step-by-step explanation:
x² - 12x + 36 = 49
(x - 6)² = 49
now taking the square root
x - 6 = 7
x = 13
the second solution is (remember, sqrt(a²) = ±a)
-(x - 6) = 7
-x + 6 = 7
-x = 1
x = -1
sort the sequences according to whether they are arithmetic, geometric, or neither.
Step-by-step explanation:
I am not sure what you mean by "sort". that would mean to bring them into a certain sequence.
I think you mean "categorize".
the first one is arithmetic.
the added constant is -4.2
98.3 - 4.2 = 94.1
94.1 - 4.2 = 89.9
...
the second one is neither.
it looks like first to be arithmetic with the added constant of -1.
1 - 1 = 0
0 - 1 = -1
but then
-1 - 1 = -2 and not 0.
the third is geometric.
the ratio or multiplication factor is 2.
1.75 × 2 = 3.5
3.5 × 2 = 7
...
the fourth is arithmetic.
the added constant is 1.2.
-12 + 1.2 = -10.8
-10.8 + 1.2 = -9.6
...
the fifth is geometric.
the ratio of multiplication factor is -1.
-1 × -1 = 1
1 × -1 = -1
...
if you really need to sort them (change their positions in that 5 elements list), then
the 1st and 4th are arithmetic (to be put into the top 2 spots).
the 3rd and 5th are geometric (to be put into the next 2 spots).
the 2nd is neither (last spot).
A={-3-2, -1, 0}
B={0,2,3,4,5}
A U B
Answer:
-3,-2,-1,0,2,3,4,5
hope it helps
What is the 83rd term of the arithmetic sequence an=9,11,13,15,17,19
Answer:
173
Step-by-step explanation:
substitute and calculate
10. Given the kite at the right, DF=7 inches and Area=42 inches square.
What is the length of EG?
A. 7 in
B. 12 in
C. 14 in
D. 16 in
here is the question
Answer:
1) -6.4
2)71
3)15.4
An office supply company is shipping a case of
wooden pencils to a store. There are 64 boxes of
pencils in the case. If each box of pencils weighs
2.5 ounces, what is the weight, in pounds, of the
case of wooden pencils?
I NEED HELP!
Find the volume.
Thanks!
Answer:
364
Step-by-step explanation:
Hello, you can use the formula which is [tex]v=lwh/3[/tex]
what is -2y-8=-2x in slope intercept form
Answer:
y= x-4
Step-by-step explanation:
slope-intercept form is y=mx+b
-2y-8=-2x move the 8 over to the other side
-2y=-2x-8 divide whole equation by negative 2
this should give you, y=x-4
What is the y-intercept of the equation y=10,000(0. 97)x ?
10,000
1
0. 97
0
PLEASE HELP ASAPPPP (THIS IS QUESTION 15) ALSO CONSUMER MATH
Answer:
Step-by-step explanation:
The y intercept, is when x=0, and so it is 10000(0.97)^0 = 10000
Leon evaluated the expression
Negative one-half(–4a – 6) + a2 for a = 8.
Answer:
[tex]26[/tex]
Step-by-step explanation:
[tex](-4a - 6) + a2[/tex]
[tex]a=8[/tex]
Let's Substitute a with 8:
[tex]-4\times \:8-6+8^2[/tex]
[tex]26[/tex]
9 is 3 less than a number n in standard form
Answer:
9=n-3
Step-by-step explanation:
Please help with this question
What is a corner of a kitchen counter?
Answer:
vertices
Step-by-step explanation:
The corner of a shape or object is the vertices
if CE=5, YF=21 and XZ=15, determine and state the perimeter of triangle CFX.
The perimeter of the triangle CFX is the sum of lengths CF, FX and XC
The perimeter of the triangle CFX is 82 units
How to determine the perimeter of triangle CFXThe given parameters are:
CE=5, YF=21 and XZ=15
Points E, Y and Z are the median of the triangle CFX.
This means that:
CF = 2 * CE
FX = 2 * YF
XC = 2 * XZ
The perimeter of triangle CFX is then calculated as:
Perimeter = CF + FX + XC
This gives
Perimeter = 2 * CE + 2 * YF + 2 * XZ
So, we have:
Perimeter = 2 * 5 + 2 * 21 + 2 * 15
Perimeter = 82
Hence, the perimeter of the triangle CFX is 82 units
Read more about the perimeters at:
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Solve the simultaneous equations
2x-3y = 4
4x - y = 13
3 marks
Answer:
X=7/2 Y=1
Step-by-step explanation:
4X-Y=13
4X-13=Y
2X-3(4X-13)=4
2X-12X+39=4
-10X+39=4
-10X=4-39
-10X=-35
X=7/2(-35/10)
Y=4(7/2)-13
Y=14-13
Y=1
The solution of the two given linear equations will be equal to X=7/2 Y=1
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The solution of the linear equation is as follows:-
4X - Y = 13
4X - 13 = Y
2X - 3 ( 4X - 13 ) = 4
2X - 12X + 39 = 4
-10X + 39 = 4
-10X = 4 - 39
-10X = -35
X = 7/2 ( -35 / 10 )
Y = 4 ( 7/2 ) - 13
Y = 14 - 13
Y = 1
Therefore the solution of the two given linear equations will be equal to X=7/2 Y=1
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hi pls help will mark as brainlist
Answer:
(5x + 3x) (x -5)
Step-by-step explanation:
Factor a GCF from the expression, if possible.
Factor a Trinomial, if possible.
Factor a Difference Between Two Squares as many times as possible.
If the equation is in the form a2-b2, factor it to (a+b)(a-b). Equations with two variables factor differently than basic quadratics. For any equation a2-b2 where a and b do not equal 0, the equation factors to (a+b)(a-b). For example, the equation 9x2 - 4y2 = (3x + 2y)(3x - 2y).