The CD will earn $459.375 interest in 30 months and the balance at maturity will be $10,959.375.
Here, we are given that Ralph deposited $10,500 in an CD account that pays 1.75% simple interest for 30 months.
Simple interest can be calculated using the following formula-
Simple interest = Principle(P) × Time(t) × Rate(r)/ 100
Here,
P = 10,500
t = 30/12
r = 1.75
Thus,
Simple interest = 10,500 × 30/12 × 1.75/ 100
= 10,500 × 5/2 × 175/ 10000
= 10,500 × 5/2 × 7/ 400
= 26,250 × 7/ 400
= $459.375
Thus, the CD will earn $459.375 interest in 30 months.
Balance on maturity will be-
$10,500+ $459.375 = 10,959.375
Thus, the balance at maturity will be $10,959.375.
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What is the value of 8 in each number? 389
Answer:80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
its just 80
Solve the Question Provided by the picture.
(Im trying to correct my answer)
Use the formula for the area of a trapezoid A = h (bi+b²), 2 where A is area, b₁ and b₂ are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?
Answer:
7725 ft³===================
Use the given numbers and formula to calculate the area:
[tex]A = h(b_1+b_2)/2[/tex][tex]A = 75(125+81)/2=75(206)/2=75(103)=7725[/tex]NEED HELP ASAP
Which ordered pairs are solutions to the system of inequalities?
{x−3y≥1
{2x+y≤4
Select each correct answer.
(0, 3)
(−1, 1)
(3, −2)
(4, 0)
(2, 3)
(1, −1)
write an equation in slope-intercept form of the line that bisects the angle formed by ED and EF.
Answer:
ok
Step-by-step explanation:
the answer is (2,4)
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If Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours. How many hours would it take them working together
It would take 3.43 hours to paint living room working together.
In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.
We need to find the amount of time required them working together.
Let they need 'x' hours to paint living room together.
So, we get an equation,
1/6 + 1/8 = 1/x
We need to find the value of x.
1/x = (8 + 6) / 48
1/x = 14/48
x = 48 / 14
x = 3.43 hours
Therefore, it would take 3.43 hours to paint living room working together.
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PLEASE ANSWER QUICK!!!! use one of your new conjectures to find the indicated angle measures and expressions.
t + p = ___
Based on the exterior angle theorem, the indicated measures are: t + p = 135°.
What is the Exterior Angle Theorem?In a triangle where an exterior angle is formed outside the triangle by an extended side of the triangle, the exterior angle theorem states that the measure of this exterior angle must be equal to the sum of the two interior angles that are directly opposite this exterior angle.
Angle t and angle p are interior angles of the triangle that are opposite the exterior angle that measures 135 degrees.
This implies that: the sum of angles t and p would be equal to 135 degrees.
Therefore, based on the exterior angle theorem, the indicated measures are: t + p = 135°.
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can someone help me with this domain and function question :)
Answer: (-∞, ∞)
Step-by-step explanation:
|2x+5|+3 can't equal 0. The denominator can't equal 0.
|2x+5|+3[tex]\neq[/tex]0
|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.
Hence, domain is x equals all real numbers: (-∞, ∞)
Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-9,-8) and is perpendicular to the line whose equation is x = 8.
The equation of the function is
Answer:
y = -8
Step-by-step explanation:
line x = 8 is a vertical line so the line perpendicular has slope of 0
Using m = 0, x = -9, y = -8
y = mx + b
-8 = 0(-9) + b
b = -8
so y = -8
Step-by-step explanation:
y = 8, the one above is correct, we both are.
:
Uncle Choo sold 580 reams of printing paper in January and 755
reams of printing paper in February.
He sold 2100 reams of printing paper from January to March.
How many reams of printing paper did he sell in March?
Step-by-step explanation:
2100-(580+755)
2100-1335
=835
Answer=
January=580
February=755
January+February=
580+755=1335
March=2100-1335
=765
so March is 765 reams
January+February+March
580+755+765=2100reams
.............................
Answer: yes i get it
Step-by-step explanation:
Refer to Figure 2.8 and look at the listing for Home Depot.
Required:
a. Assuming that the table gives today's prices, what was the firm's closing price yesterday? (Round your answer to 2 decimal places.)
b. How many shares could you buy for $5,000? (Round your answer to the nearest whole number.)
c. What would be your annual dividend income from those shares? (Round your answer to 2 decimal places.)
d. What must be Home Depot’s earnings per share? (Round your answer to 2 decimal places.)
Please help me solve this problems.
Answer:
[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]
At a cost of $8 per pound, how many ounces of barley can be bought for $3.70?
At a cost of $3.70, we can buy 7.40 ounces of barley.
Given that,
Barley cost per pound = $8
To determine how many ounces of barley can be bought at a cost of $3.70.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
1 pound = 16 ounces
since 1 pound = $8
divide both the side by 16
1 / 16 pound = 8 /16
1 / 16 pound = $0.5
1 ounce = $0.5 cost
Now,
at 1$ = 2 ounces
multiply both sides by $3.70.
3.70 = 2*3.70 ounces
at $3.70 = 7.40 ounces
Thus, at a cost of $3.70, we can buy 7.40 ounces of barley.
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7+8n=71, what does N equal in the problem?
n2-8n+7=0. hope this help
Answer:
7 + 8(8) = 71
1) 8x8=64
2) 64+7
N=71
lol
ASAP, yk the pain too, help me out!!! begging
2x+p/q=2x+q/p, p DOESNt equal to 0, q doesn’t equal to 0
Answer: If p=q, ______. If p doesn’t equal q, _______.
The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;
When p = q, the number of solutions is infinite.
When p ≠ q, the equation has no solution
How can the given equation be evaluated?The given equation is presented as follows;
[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]
If p = q, we have;
[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]
[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]
Therefore, the equation has an infinite number of solutions when p = Q
If p ≠ q, and x = 3, we have;
[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]
[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]
[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]
6•p + p² = 6•q + q²
However;
p ≠ q
Therefore;
6•p ≠ 6•q
p² ≠ q²
6•p + p² ≠ 6•q + q²
Which gives;
[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]
The equation is not defined when p ≠ q
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-2x-y=1 in slope intercept form
A spinner has 6 equal sized slices numbered from 1 to 6. Some are grey and some are white, as shown below.
Answer the following questions, write each answer as a fraction.
The wheel will be spun and will stop on a slice at random.
a) what is the probability that the wheel stops on number 2?
b) what is the probability that the wheel stops on number 2, given that the wheel stops on a white slice?
Will give Brainliest!
Alejandro can wash 4 cars in an hour.
How much time would it take Alejandro to wash: 8 cars? 20 cars?
There are 2 variables. Name each one with a letter.
# of hours he washes cars:
# of cars he washes:
Represent this situation as an equation with the 2 variables:
Answer: Alejandro will wash 8 cars in 2 hours and 20 cars in 5 hours
Step-by-step explanation:You would just need to divide 4 by 8 and 20.8 divided by 4 is 2 and 20 divided by 4 is 5
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The vertices of Figure A are located at (-9,4), (-3,6), (-2,3) and (-8,1) on a coordinate plane. Figure A is transformed to Figure B by rotating the figure 90º clockwise about the origin, translating it 8 units left and 4 units down, and then dilating from the origin by a scale factor of 2. Which ordered pair will be a vertex in Figure B?
A. (-8,10)
B. (−2, 5/2)
C. (-9/2 −6)
D. (-22,-12)
Answer:
a
Step-by-step explanation:
he definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
A mural measures 145 feet long by 190 feet high. Find the ratio of the height to the perimeter of this mural.
The ratio of height to perimeter of mural is 19:67.
The perimeter of mural will be calculated by the formula -
Perimeter = 2 × (length + breadth)
So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.
Perimeter = 2 × (145 + 190)
Performing addition of values in bracket
Perimeter = 2 × 335
Performing multiplication
Perimeter = 670 feet
Ratio = Height : Perimeter
Ratio = 190 : 670
Cancelling zero to find the ratio
Ratio = 19 : 67
Hence, the ratio of the height to the perimeter of this mural is 19:67.
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The graph of f(x) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?
–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5
Answer:
The answer is A. –2 to –1
Step-by-step explanation:
Answer: A on edge
Step-by-step explanation:
Find a solution to the linear equation 13x +y =26 by filling in the bows with a valid value of x and y.
The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.
It is required to find the solution to the linear equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The equation is
13x + y = 26
We have to find the value of x and y .
According to given question we have
13x + y = 26
Subtract 13x from both sides we get,
y = 26 - 13x
Subtract y from both sides
13x = 26 - y
Divide through by 13
x = 2 - y/13
Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.
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Between what two integers does square root of -19 lies
Answer:
4 and 5
Step-by-step explanation:
4^2=4xx4=16,
5^2=5xx5=25, and 19 is between those two squares
Please solve this, thank you
Answer:
2.62 x 10^16
Step-by-step explanation:
Let look at the numerator:
(3.1 x 10^6)(6.97 x 10^4)
= (3.1 x 6.97) x 10^(6+4)
= 21.607 x 10^10
So 21.607 x 10^10
_______________
8.245 x 10^-6
= (21.607/8.245) x 10^(10 - -6)
= 2.62 x 10^(10 + 6)
= 2.62 x 10^16
I hope this helps
If x = y – 9, and y – 4 = 10, x = ?
Answer:
X = 5
[tex] \sf \large \: x=5 and y=14[/tex]
Step-by-step explanation:
Let's solve your system by substitution.
x=y−9;y−4=10
Rewrite equations:
y−4=10;x=y−9
Step: Solvey−4=10for y:
y−4=10
y−4+4=10+4(Add 4 to both sides)
y=14
Step: Substitute14foryinx=y−9:
x=y−9
x=14−9
x=5(Simplify both sides of the equation)
What is the answer to 11 = x/-5 + 8
Answer Formula: x = ?
Answer: x=-15
Step-by-step explanation:
11=x/-5+8
minus 8 on both sides
3=x/-5
multiply by -5 on both sides
x=-15
Answer:
x = -15
Step-by-step explanation:
Given: 11 = x/-5 + 8
We need to get x by itself to make a formula or get an answer
Step 1: Subtract 8 on both sides
We need to subtract 8 on both sides in order to cancel out the 8 on the right and bring it to the left
so, 11 -8 = x/-5 +8 -8 = 3 = x/-5
Step 2: Multiply by -5
We need to multiply by -5 in order to cancel our the -5 on the right and bring it to the left
so, 3*-5=x/-5*5 = -15 = x
Therefore, x = -15.
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year
while they owned it.
ind a linear function that describes the value of the building over time, if a is the age of the apartment building.
f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.
we have to find a linear function that describes the value of the building over time, if a is the age of the apartment building
write a linear function is in slope-intercept form:
y= mx+b
Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.
165000= $2000*5+b
$165000= $10000+b
$155000=b
f(a)=2000a+155000
therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
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Help please it’s geometry
Answer:
RA = RB because the base angels of isosceles are equal and their measurement are equal too
Step-by-step explanation:
angle RAB=180(sum of angels of a triangle)
180/2=90
90/3=30
Angle R= 90
Angle A=30
Angle B= 30
So,It is proved that RA=RB
I tried my best to answer hope it is accurate.