Answer:
[tex]y = 18 * 1.15^x[/tex]
Step-by-step explanation:
Given
[tex]a = 18[/tex] --- initial
[tex]r =15\%[/tex] -- rate
Value after a year = $20.70
Required
Expression to calculate its value after y years
This is calculated using:
[tex]y = ab^x[/tex]
Where
[tex]b=1 +r[/tex]
Substitute [tex]r =15\%[/tex] in [tex]b=1 +r[/tex]
[tex]b = 1 + 15\%[/tex]
[tex]b = 1 + 0.15[/tex]
[tex]b = 1.15[/tex]
Substitute [tex]b = 1.15[/tex] and [tex]a = 18[/tex] in [tex]y = ab^x[/tex]
[tex]y = 18 * 1.15^x[/tex]
For each equation, find a value for x that makes the equation true.
4x/3x=10/3
Answer:
No Solution
____________________________________________________________
What expression is equivalent to 4 + 2(3 + 5 exponent 2 - 6)?
Answer:
A. 48
Step-by-step explanation:
4 + 2(3 + 25 - 6) =
4 + 2(28 - 6) =
4 + 2 x 22 =
4 + 44 =
48
Hope that helps!
A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer
Answer:
Formula for volume = length (L) × width (W) × height (H)
Volume of the stone = 1,440 cm³
Step-by-step explanation:
✔️Formula for the rectangular tank = L*W*H
✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone
✔️Volume of the tank with the stone:
L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)
Volume of the tank with the stone = 30*24*8 = 5,760 cm³
✔️Volume of the tank without the stone:
L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)
Volume of the tank with the stone = 30*24*6 = 4,320 cm³
✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³
One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.
Answer:
Step-by-step explanation:
Let the shake be x and the burrito y
x + 2y = 3040 ---- (1)
2x + y = 2840 ---- (2)
Make x the subject of formula in equation (1)
x + 2y - 2y = 3040 - 2y
x = 3040 - 2y
Substitute x = 3040 - 2y for x in equation (2)
2(3040 - 2y) + y = 2840
6080 - 4y + y = 2840
6080 - 3y = 2840
Subtract 2840 from both sides of the equation and add 3y to both sides of the equation
6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y
6080 - 2840 = 3y
3y = 3240
Divide both sides by the coefficient of x(which is 3)
[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]
y = 1080
Substitute y = 1080 for y in equation (2)
2x + 1080 = 2840
2x = 2840 - 1080
2x = 1760
[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]
x = 880
∴ The caloric content of one shake is 880 and for one burrito is 1080
Hope this helps
Plz help!!!!!!!!!!!!!!!!
Answer:
b) 95
Step-by-step explanation:
equation:
3 x 30 + 5
solve:
3 x 30 + 5 = 95
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
Learn More:
https://brainly.com/question/6305087?referrer=searchResults
What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6
Answer:
it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49
Step-by-step explanation:
The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle
Answer:
10w
Step-by-step explanation:
→ Work out the length
4 × w = 4w
→ State width
w
→ Find perimeter
4w + 4w + w + w = 10w
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?
Let d = the amount that Drew has to save to help buy the gift.
Which equation can be used to solve the problem. Equation
How much money does Drew need to save so they could buy the gift?
If y = -2x + 3, find y when x = -3
What is the length of the hypotenuse of the triangle?
Answer:
Step-by-step explanation:
The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.
Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
SA
TO
SA
th
B
SA
B
B
Answer:
ab
Step-by-step explanation:
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
Which of the following is most likely the next step in the series?
Answer:
Option A is the next step in the series.
i need help solving the paint questions
For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)
What is the equation of the line that passes through the point (5, -7) and has a
slope of o?
Answer:
y = -7
Step-by-step explanation:
To find the y-intercept, you need to plug the coordinates into the equation.
y = 0x + b
-7 = 0(5) + b
-7 = b
Please help. What is the answer?
Answer:
Choice number 3
Step-by-step explanation:
Because look at the length of 8 on one side and notice the other side is a little longer
A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
Hello There!
First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)
Because the fee is 3 dollars we can immediately eliminate answers B and C
Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)
Once again we want to choose two points on the line and plug it in into the slope formula
the points are optional but i have chosen the points (1,4.5) and (2,6)
*plug it into the slope formula*
[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]
so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A
A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve to find out how many hours it took for the bus to arrive at its destination
Answer:747
Step-by-step explanation:
6th grade math help fast
15.00 + 1.75x > 7.50 + 2.25
Answer:
Step-by-step explanation:
Determine which of the graphs represent the proportional relationships. Circle the appropriate response.
HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
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James bought 12 cookies and ate 3 of them. He ate ____% of the cookies
Answer:
25%
Step-by-step explanation:
3/12=d/100
12×d=12d=3×100=300
12d÷12=d
300÷12=25
d=25
hope this helps
Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.
Respuesta:
183x + 356y = 3763
Explicación paso a paso:
Dejar :
Número de kilos de papel = x; número de kilos de cartón = y
Kilo de papel = 183; kilo de cartón = 356
Cantidad total ganada = 3763
(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)
(183 * x) + (356 * y) = 3763
183x + 356y = 3763
What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?
Answer: Not rounded: 39.6 Rounded: 40
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answer:
12285
Step-by-step explanation:
Find the area of the figure.
Answer:
23.04
Step-by-step explanation:
A = a^2
A = 4.8^2
A = 23.04
Have a lovely day! <3
