Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Alex accepted a job as a veterinarian that pays a salary of $78,500 in the first year. After the first year, his salary increased by 1.5% per year.
Alex works for the vet clinic for 10 years. What is the total of his earnings over the 10 years?
Round your answer to the nearest hundredth
$ = _______
Answer:
795.597,5
Step-by-step explanation:
let's consider the fact that Alex worked for the vet for 10 years. First year is off with $78,500 since that was his first payment, now there are nine years left. With some math operations we find that 1,5% in this problem is equal to 1.177,5$. So if we take that number and put it together with Alexs' first payment we get from now and on his yearly pay, which is $79.677,5. At last we take that number multiply it by 9 and add all the numbers together (78,500+79.677,5(×9)= 795.597,5)
The total of his earnings over the 10 years is $236677.5.
What is interest rate?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time.
Given
P = $78,500
Interest rate = 1.5 %
Time t = 10 years
Total earning = P[tex](1+\frac{r}{100} )^{t}[/tex]
A = 78500[tex](1+\frac{1.5}{100} )^{t}[/tex]
A = 78500[tex](\frac{1015}{100} )^{10}[/tex]
A = 78500[tex](\frac{230}{200} )^{10}[/tex]
A = $236677.5
Hence, the total of his earnings over the 10 years is $236677.5.
Find out more information about interest rate here
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Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.
Use exact numbers.
y-9=y−9=y, minus, 9, equals
Answer:
[tex]y-9=17(x+7)[/tex]
Step-by-step explanation:
Hi there!
What we know:
The line goes through the points (-8,-8) and (-7,9)We need to write the equation of the line in point-slope formWhat we need to know:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that the line passes throughWe're given "[tex]y-9=[/tex]", which is the "[tex]y-y_1[/tex]" part of the point-slope form equation. This means that [tex](x_1,y_1)[/tex] is [tex](-7,9)[/tex] and we only need to solve for m.Our equation so far (plugging in the point (-7,9):
[tex]y-9=m(x-(-7))[/tex]
[tex]y-9=m(x+7)[/tex]
Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-8,-8) and (-7,9)
[tex]=\frac{-8-9}{-8-(-7)}\\=\frac{-8-9}{-8+7}\\=\frac{-17}{-1}\\= 17[/tex]
Therefore, the slope of the line is 17. Plug this into [tex]y-9=m(x+7)[/tex]:
[tex]y-9=17(x+7)[/tex]
I hope this helps!
Solve this plz for god sake
Answer:
AB = 8.66 m
Step-by-step explanation:
Here, we want to get the length AB
What we have is a right triangle
so to get the length AB, we are going to use the appropriate trigonometric ratio
From the question, AB faces the given angle and that makes it the opposite
AC faces the right angle and that makes it the hypotenuse
The relationship between the hypotenuse and the opposite can be defined by the sine
the sine of an angle is the ratio of the length of the opposite to the hypotenuse
so, we have it that;
sine 60 = AB/10
AB = 10 * sine 60
AB = 8.66 m
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3:2. Which table shows this ratio and two equivalent ratios?
Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
Which expression is equivalent to 4 7/8 ÷ 4 1/4
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
~
Whats the value of x in this triangle
Answer:
x =33.48537662
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin x = 32/58
Taking the inverse sin of each side
sin^-1 (sin x) = sin ^-1( 32/58)
x =sin ^-1( 32/58)
x =33.48537662
Answer:
33.47 degrees
Step-by-step explanation:
sin=32/58
sin^-1(32/58)= 33.47
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c+5
Step-by-step explanation:
c=Christine's age
Go with me.
In a survey of 2,700 people who owned a certain type of car, 95 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
To solve this you would do 1350/2700 which is 50%
Hope this answer helps you :)
Have a great day
Mark brainliest
Someone help me. PLEASE!
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
How many liters are equivalent to 25 ml
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =
V=224/25 m3
V=1344/25 m3
V=14 m3
Answer:
14 m³
Step-by-step explanation:
the volume of pyramid = ⅓× base area × height
= ⅓ × (½×7/3 × 15/2) × 24/5
= (7×15×24)/(3×2×3×2×5)
= 2520/180
= 14 m³
Find the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57
The solution of the equation (x+3) squared=7 is
Answer:
( x+3 )² = 7
expand ( x+3 )² : x²+6x+9
x²+6x+9=7
x²+6x+2=0
use a scientific calculator casio mode setup click no 5 , then click 3 input the equation
a = 1
b = 6
c = 2
answer : x = -3+square root 7 or x = -3-square root 7
Shelly purchased 6 25'-tape
measures and 2 chalk line reels for
$78. Sean purchased one 25'-tape
measure and 3 chalk line reels from
the same store for $29. What was
the price of each 25'-tape measure
and each chalk line reel?
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reels = $6
Step-by-step explanation:
Let t = price of one 25'-tape measure, and
let c = price of one chalk line reel
"Shelly purchased 6 25'-tape measures and 2 chalk line reels for $78."
6t + 2c = 78
"Sean purchased one 25'-tape measure and 3 chalk line reels ... for $29."
t + 3c = 29
We have a system of two equations in two variables. We will solve it with teh substitution method.
Solve the second equation for t.
t = 29 - 3c
Substitute 29 - 3c for t in the first equation.
6(29 - 3c) + 2c = 78
174 - 18c + 2c = 78
-16c = -96
c = 6
Substitute 6 for c in the second original equation.
t + 3(6) = 29
t + 18 = 29
t = 11
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reel = $6
L Por el alquiler de un coche cobran 100
pesos diarios mas 0.30 centavo por
kilometro. Encuentra la ecuacion de la recta
que relacoma el costo diarlo con el número
de kilometros
y representala.Si en un dia
se ha hecho un total de 300 km, que
importe debemos abonar?
Answer:
Sabemos que el costo del alquiler es 100 pesos diarios, más 0.30 pesos por kilómetro.
Entonces, solo por alquilar el coche por un día, hay que pagar 100 pesos.
Si además lo conduces x kilómetros, tendrás que pagar x veces 0.30 pesos.
Entonces el costo diario, en pesos, será:
C(x) = 100 + 0.30*x
Para graficar esta ecuación simplemente se deben encontrar dos pares:
(x, C(x)) en un eje de coordenadas, y luego conectarlos con una línea.
Por ejemplo, si tomamos:
x = 0
C(0) = 100 + 0.30*0 = 100
entonces tenemos el par (0, 100)
si x = 10
c(10) = 100 + 0.30*10 = 100 + 3 = 103
entonces tenemos el par (10, 103)
Ahora podemos graficar esos dos puntos y conectarlos con una línea, como en el ejemplo de abajo.
b)
También queremos conocer el costo diario si se han hecho un total de 300km.
Entonces simplemente reemplazamos x por 300 en la ecuación del costo:
C(300) = 100 + 0.30*300 = 100 + 90 = 190
El costo será de 190 pesos.
El dinero total a pagar por 300 Km es de 190 pesos.
La ecuación de una recta viene dada por y = mx + c
m = pendiente
c = intersección
Así, dado que cobran 100 pesos por día más 0,30 centavos por kilómetro, podemos escribir;
y = 100 + 0,30 x
Dado también que hay un total de 300 km, ahora tenemos;
y = 100 + 0.3(300) = 190 pesos
Más información sobre la ecuación:https://brainly.com/question/22929949
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
3/4 = 12/x. Solve for x.
Answer:
x=16
Step-by-step explanation:
3*4=12
4*4=16
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(1.0)
(2,-1)
(0.3)
(-1,5)
PLEASE HELP!!!!!!!!!!!!!
Answer: I think E
Step-by-step explanation:
can someone help please.
Answer:
if im not mistaken is d hope you get it right
If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, multiply it by 4 and add 5 to the result"
Answer:
4x + 5
Step-by-step explanation:
find the difference between 4/11 of 2½ and 3/4
Answer:
4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11
a common denominator of 11 and 4 is 44
So 40 / 44 - 33 / 44 = 7/44
Check 4/11 * 2.5 = .909
3/4 = .75
difference = .909 - .750 = .159
7/44 = .159
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes
A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
Copy PQ to the line with an endpoint at R.
This task will be complete when you have
drawn an arc intersecting the line to create
a segment with length PQ.
Answer: Hello your question lacks some details attached below is the complete question
answer:
Place a compass at point Q , measure arc PQ Draw an arc with the compass that is equal to PQ , Place the compass at point R , cut through the line to the left of R with the arc in compass, Assume the new points to be P' and R be Q' , where P' Q' will become the new image of PQ with their end point will be RStep-by-step explanation:
The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;
Place a compass at point Q , measure arc PQ
Draw an arc with the compass that is equal to PQ , Place the compass at point R , cut through the line to the left of R with the arc in compass,
Assume the new points to be P' and R be Q' , where P' Q' will become the new image of PQ with their end point will be R
Answer:
Set the compass width to the length PQ by putting one end on P and the other and on Q
Without changing the width, move the compass so one end is on R and the other end is on the line containing R
Draw an arc across the line using R as the center
Mark the point where the arc crosses the line as point S
RS is the copied segment.
Step-by-step explanation:
Here are the first five terms of an arithmetic sequence.
26 19 12 5 -2
Find an expression, in terms of n, for the nth term of this sequence.
(I know part of it is -7n but I'm not sure what the rest would be)
33-7n is the required expression.
Have a nice day!!
Answer:
the answer is -7n+ 33
Step-by-step explanation:
i usually just add the constant difference to the first term to create the last value . it sometimes doesnt work but does most times
Which of the statements below is/are true for the following function? f (x) = x^3 – 7x^2 + 36
Select all that apply.
A f(-14) = 5
В. f(x) = (x – 5) (x^2 – 2x – 10) +4
C. The remainder when f(x) is divided by (x - 5) is - 14.
D. f(5) = -14
E The remainder when f(x) is divided by (x + 14) is 5
Answer:
C
Step-by-step explanation:
the value of x is 5 sub 5 into the formula your ans will be -14
help me for brainiest pleasee
Answer: B
Step-by-step explanation: 12.8% of 635,000 = 81280
True or false, with method of elimination, think about what you can multiply one equation by so that a variable will be eliminated when the two equations are added.
Answer:
True i think
Step-by-step explanation:
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...