Answer:
http://www.1728.org/rate2.htm
Years = ln (Total / Principal) / rate
Years = ln (4,500 / 2,500) / .026
Years = ln (1.8) / .026
Years = 0.5877866649 / .026
Years = 22.6071794192
Step-by-step explanation:
find the value of x and y in the parallelogram
Answer:
x=14
y=40
Step-by-step explanation:
A parallelogram is like a rectangle 2 parallel sides are equal.
so x+3=17 and y-2=38
x+3=17
x=17-3
x=14
y-2=38
y=38+2
y=40
Use the formula for simple interest to help solve the following questions
Answer:
1. ₹ 382.50
2. ₹ 14,583.33
3. 6%
Step-by-step explanation:
Interest = p × r × t
p = principal amount
r = rate of interest
t = time in years
(1) Interest = 10,200 × 0.025 × 1.5
= ₹ 382.50
(2) Principal = [tex]\frac{I}{(r\times t)}[/tex]
= [tex]\frac{1750}{(0.04 \times 3)}[/tex]
= [tex]\frac{1750}{0.12}[/tex]
= ₹ 14,583.33
(3) [tex]Rate=\frac{(I \times 100)}{(p \times t)}[/tex]
[tex]=\frac{(1186.5 \times 100)}{(5650 \times 3.5)}[/tex]
[tex]=\frac{118650}{19775}[/tex]
= 6%
Which point on the x-axis lies on the line that passes point C and is parallel to line AB
Answer:
(2,0)
Step-by-step explanation:
plz help me .........
Answer:
216 inches
Step-by-step explanation:
72+72+36+36=216
Ali surveyed his classmates to see who liked tennis. In all, 32 males liked tennis, and 6 males did not like tennis; 13 females liked tennis, and 4 females did not like tennis. How many females did Ali survey
Answer:
Ali surveyed 17 females.
Step-by-step explanation:
From Ali's survey:
13 females liked tennis, while 4 did not.
This means that Ali's surveyed 13 + 4 = 17 females.
How many females did Ali survey?
Ali surveyed 17 females.
Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1
Answer:
Table C is the answer
Step-by-step explanation:
A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm 2 ) of the rectangle and its dimensions (in cm) given that the two equal legs of the triangle have length 4.
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
The maximum area of the rectangle inscribe in the right isosceles triangle
is [tex]\rm \bold{4\;cm^2}[/tex]
Given that a rectangle is to be inscribed in an isosceles triangle
As per the attached figure we can write the following
Let ΔABC represents the isosceles triangle from the given data in the question we can write the following observations
Length of AB = 4
Length of BC = 4
∠ACB = 45°
∠BAC = 45°
Length of AC = [tex]\rm 4\sqrt2[/tex]
We have to consider a rectangle within the isosceles triangle such that
area of rectangle is maximum
The area of rectangle is given by equation (1)
[tex]\rm Area \; of \; rectangle = Length \times Breadth ........(1) \\[/tex]
Let the area of rectangle inscribed by the isosceles triangle is " A"
Let the lenght of the rectangle be "x "
Let the width of the rectangle be " y "
So according to equation (1) the area of rectangle inscribed into the triangle is given by
[tex]\rm A = x \times y.......(2)[/tex]
In ΔAED we can write
[tex]\int\limits^a_b {x} \, dx \rm tan 45= \dfrac{Perpendicular}{Base } = \dfrac{4-y}{x} \\1 = \dfrac{4-y}{x} \\ x = 4-y .......(3) \\[/tex]
From equation (2) and (3) we get
[tex]\rm A = (4-y)(y) \\A = 4y -y^2......(4)[/tex]
On differentiating the given function with respect to y we get
[tex]\rm A' = 4- 2y \\[/tex]
On putting A' =0 we get
[tex]\rm 4-2y =0 \\2y = 4\\y = 2[/tex]
A'' is negative hence it is the maximum value of y
So we can conclude that the maximum value of y is 2
So from equation (4) the maximum area is [tex]\rm 2\times 2 = 4\; cm^2[/tex]
The maximum area of the rectangle inscribe in the right isosceles triangle
is [tex]\rm \bold{4\;cm^2}[/tex]
For more information please refer to the link given below
https://brainly.com/question/541676
you find an apartment on Craigslist that is advertised as having an area of 700 square feet. How big is the apartment in square yards? Round to the nearest tenths place. (5 pts) Hint: I yd 3 ft 1 yd 3 ft
Answer:
x = 77.8 square yards
Step-by-step explanation:
Given the following data;
Area = 700 square feet
To find the area in square yards;
Conversion:
1 yard = 3 feet
1 square yard = 9 square feet
x square yard = 700 square feet
Cross-multiplying, we have;
700 = 9x
x = 700/9
x = 77.8 square yards
4 lemons required to make 6 cups of lemonade
Answer:
If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade
Step-by-step explanation:
If you simplify 4/6 it would be 2/3
The sum of two numbers is 67. The difference of the two numbers is 41. What are the two numbers.
Let 3 be the larger number and y be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 67."
Write an equation that expresses the information in the sentence "The difference of the two numbers is 41."
Solve the system you have written above.
The larger number, 2 is
The smaller number, y is
Answer:
32
Step-by-step explanation:
(3+8i) (3+8i) multiply
Answer:-55+48i
Step-by-step explanation:
Answer:
Step-by-step explanation:
73
Bela runs a 6.2 mile race and a 26.22 mile race during the year.
How many total miles did she run in both races?
Answer:
Bella ran 32.42 miles.
Step-by-step explanation:
6.3 + 26.22 = 32.42 miles
Answer:
32.42
Step-by-step explanation:
A debt of $9000 is to be amortized with 4 equal semiannual payments. If the interest rate is 7%, compounded semiannually, what is the size of each payment?
Answer:
Instalment = Loan / PVAF (r%, n)
Where r is int rate per six months & n is no. of half years
= $ 9000 / PVAF (5% , 4)
= $ 9000/ 3.5460
= $ 2538.11
Pls comment, if any further assistance is required.
Step-by-step explanation:
[tex]\int\limits^a_b {x}2 \, dx
Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
.
Down payment: $1500
.
Monthly payment: $279
Security deposit: $350
• Acquisition fee: $700
O A. $26,346
B. $29,246
C. $27,100
OD. $20,876
9514 1404 393
Answer:
A. $26,346
Step-by-step explanation:
The cost is the sum of all of the payments made:
cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price
cost = $1500 +24×279 +350 +700 +17100 = $26,346
The total price of the car if you buy it after leasing is $26,346.
The amount of money in a saving account after t years is represented by the function f(t)=3600(1.035)^t. What does the value 3600 represent in this situation?
Answer: The amount of money that was in it originally
Step-by-step explanation:
a) Two thirds of the class are freshman
Is it parameter or statistic
Answer:
parameter
Step-by-step explanation:
URGENT!! Bacteria tend to grow exponentially, by a common factor over equal
time intervals, because each cell divides into two daughter cells. A
particular bacteria culture begins with 1000 bacteria. The number of
bacteria doubles about every 12 h.
Answer:
Double the bacteria, 2000, 4,000, 8,000, 16,000 so on.
Step-by-step explanation:
Hope this helps
Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
OTwo sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
45
Answer:
two sides have the same length which is less than the length of third side
Step-by-step explanation:
The sum of the lengths of the two sides is equal to the length of the third side.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle,
The side opposite to the equal angle are equal.
Now,
We have two 45 angles.
This means,
The sides opposite to the 45 angles will be congruent.
And,
The other angle is 90 degrees.
Which is a right triangle
Thus,
The sum of the lengths of the two sides is equal to the length of the third side.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
12
What is the equation of the line that is parallel to the
given line and passes through the point (12,-2)?
10
8
(126)
6
4
-2
o y=-x + 10
O y=-x + 12
O y=-x-10
o y=-x-12
-10-B-
B2
21
B
8
10 12 14 X
(12-2
(0.4)
10
Answer:
y=5/6x -12
Step-by-step explanation:
first find the slope of the graph
by using 2 points (0,-4) (12,6)
[tex]m = \frac{6 - ( - 4)}{12 - 0} = \frac{10}{12} = \frac{5}{6} [/tex]
and bcoz they r parallel they have the same slope,,now find the equation by using the given point
y-y=m(x-x)
y+2=5/6(x-12)
[tex]y = \frac{5}{6} x - 12[/tex]
HELP EDCITEE !! PLEASE !!!
Answer:
75.3074525 dgrees
Step-by-step explanation:
law of sines
29/sin(115 degrees) = 13/sin(B)
==> B = 0.418374736 rad
or 75.3074525 dgrees
Can someone help me solve this
Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)
Answer:
D is the answer to the question
One of these graphs is of a cubic function. Which one is it?
Answer:
D
Step-by-step explanation:
D is the correct answer. It is a cubic function
Answer:
D
Step-by-step explanation:
It is because it is in form f(x) =ax³+cx+d.
Where the coefficients are a, b, c, and d.
The variable 'x' takes real values, and a ≠ 0 in other words.
Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?........................... entonces, la expresión para calcular el volumen es: V = ……………………
Answer:
a) El procedimiento queda resumido en lo que sigue:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) La expresión para calcular el volumen del prisma ([tex]V[/tex]), en unidades cúbicas, es:
[tex]V = w\cdot h \cdot l[/tex]
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
[tex]l[/tex] - Longitud del prisma, en unidades.
Step-by-step explanation:
a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) En consecuencia, se deriva la expresión para el volumen del prisma:
[tex]V = A\cdot l[/tex] (1)
Donde:
[tex]A[/tex] - Área de la base del prisma, en unidades cuadradas.
[tex]l[/tex] - Longitud del prisma, en unidades.
[tex]V = w\cdot h \cdot l[/tex] (2)
Donde:
[tex]w[/tex] - Ancho de la base, en unidades.
[tex]h[/tex] - Altura de la base, en unidades.
PLEASE HELP !! WILL MARK BRAINLIEST !!!
Answer:
5
Step-by-step explanation:
We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent
Now isolate x:
7y=3y+20
7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)
7y-3y=20
4y=20 (simplify)
4y/4=20/4 (divide by 4, division property if equality)
y=5
Help with quadratic formula
Answer:
The format for any quadratic equation is;
ax² + bx + c
And the quadratic formula is written as;
[tex]\frac{-b+-\sqrt{b^2 -4ac} }{2a}[/tex]
Hope this helps!
Before simplifying, how many terms are there in the expression -2x+8 -6y + 8x + 11?
5
6
3
4
Answer:
There are 5 terms in the given expression.
What is the x-intercept of the line y = 2x – 10?
Hi there!
»»————- ★ ————-««
I believe your answer is:
(5,0)
»»————- ★ ————-««
Here’s why:
I have graphed the equation in a program. When graphed, the point crosses through the point (5,0). This means that (5,0) is the x-intercept. See the graph attached below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
help me solve this question its coming in my next math test and i cant solve it!
Answer: sorry I can't help you
Step-by-step explanation: because the picture won't show up.
