Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?
Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
Solution:-The age of Sita = (x + 5) years.
And, the age of Gautam = x years.
Now,
5 years ago, the ratio of their ages was 3 : 2
[tex] \therefore [/tex] [tex] \bf \frac{3}{2} \: = \frac{x \: + \: 5}{x} [/tex]
Now by cross multiplying, we get,
3x = 2(x + 5)
3x = 2x + 10
3x - 2x = 10
x = 10Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.
And, the age of Gautam = x = 10 years.
Now,
The present age of Sita = 15 + 5 = 20 years. (Answer)
And, the present age of Gautam = 10 + 5 = 15 years. (Answer)
Find the perimeter of the figure.
Answer:
56 meters or 56 m
Step-by-step explanation:
We first want to find the small square at the top it has 3 sides of the same length so it must be a square
5+5+5 is = to 15.
Then to find the bottom rectangle we so 7+7+11+11+5 and we get 14+22+5 and then 36+5 to end up getting 41
Then 41+15=56
I need help please (25 points)
Benny plant grew 16.8 centimeters this year. The plant grew the same amount each month. How much did the plant grow each month?
Answer:
1.4 centimeters each month
Step-by-step explanation:
we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:
16.8/12 = 1.4
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
6 sessions
Step-by-step explanation:
s= session
silver gym: 30 + 45s
session 1: 75
session 2: 120
session 3: 165
session 4: 210
session 5: 255
session 6: 300
fit factor: 90+ 35s
session 1: 125
session 2 : 160
session 3: 195
session 4: 230
session 5: 265
session 6: 300
Find the value of x and classify the triangle plzzz
Answer:
x=24°
The triangle is an obtuse isosceles triangle
Step-by-step explanation:
This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.
The interior angles of a triangle add up to 180, so let's make an equation.
132+2x=180
Then solve for x
subtract 132 from both sides
2x=48
Divide by 2 on both sides
x=24
The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit punch?
i don't know sorry.....................................
Answer:
16/4=4
4,,,,,,,,,,,,,,,,,,,,
Which of the following is a solution to the equation2/3 x + 16 = -14?
Answer:
x= -45
Step-by-step explanation:
What type of triangle is ABC?
Give reasons for your answer.
Answer:
I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.
Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.
For similar reasoning, angle BCE = angle ABC = 80 degrees.
Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.
(angle ACD) + (angle ACB) + (angle BCE) = 180
(50) + (angle ACB) + (80) = 180
(angle ACB) + 130 = 180
angle ACB = 180-130
angle ACB = 50 degrees
Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.
Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds
Answer:
13 pounds
Step-by-step explanation:
We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:
205 - 192 = 13 pounds
That means that the box and the packaging is 13 pounds. Hope this helps!
Three friends but one pack of 80 stickers. They divide it equaly and gave the rest to the teacher. how many stickers will each friend get?
Answer:
each friend will get 26 stickers
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
what is the area of this quadrilateral
Answer:
The area of it is 52 square feet
What’s the growth factor of f(x)=500(1+.12)^x
Answer:
12%
Step-by-step explanation:
For every value of x, the initial value is increased by 1+0.12 = 100% + 12%.
meaning we are adding 12% for every value of x
On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?
i)It ended at 21:13
ii) 440*10/100
44 mins longer
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
110% = 440 minutes (Tuesday journey)
100% = 100/110 x 440
100% = 400 minutes (Monday journey)
Tuesday's journey took 40 minutes longer than Monday's journey.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
On Tuesday the train journey took 7 hours and 20 minutes and began at
13:53.
The time train journey ended.
= 13:53 + 7 hours + 20 minutes
= 13 hours + 53 minutes + 7 hours + 20 minutes
= 20 hours + 73 minutes
= 20 hours + 60 minutes + 13 minutes
= 20 hours + 1 hour + 13 minutes
= 21 hours + 13 minutes
This means,
= 21:13
The train ended the journey at 21:13
Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.
This means,
Converting into minutes.
7 hours 20 minutes
= 60 x 7 + 20 minutes
= 420 minutes + 20 minutes
= 440 minutes
Monday's journey time.
110% = 440 minutes:
100% = 100/110 x 440
100% = 400 minutes
Thus,
Tuesday's journey took 40 minutes longer than Monday's journey.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
Forty-four people paid $1.85 each for a hot dog at a vending cart in Altura Park. How many dollars did they pay combined?
Answer:
They paid 81.4 all together.
Step-by-step explanation:
Multiply 44 times 1.85 as each person paid $1.85.
44*1.85=81.4
help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
large bag of popcorn costs $ 4. A small bag costs $ 3. The theater sold 59 bags of popcorn and made $ 200. How many of each size was sold?
Answer:
36 units of small size popcorn
23 Units of Large popcorn
Step-by-step explanation:
Data:-
Cost of large bag of popcorn = $4/-
Cost of Small bag of popcorn = $3/-
Unit Sold = 59 Bags
Sale = $200.
Required:-
No of unit each size sold = ?
Solution:-
After applying direct formula to computation is below mentioned:
= (36 x 3)+(23x4)
=$200
What is the volume of a cylinder that has the following measurements?
area of each base: 50.24 ft2
area of lateral surface: 75.36 ft2
height of cylinder: 3 ft
128.6 ft 3
226.08 ft 3
150.72 ft 3
175.84 ft 3
bad answers will get banned good answers will get brainlist please
Volume of a cylinder = area of base x height:
50.24 x 3 = 150.72 ft^3
Answer:
150 ft³
Step-by-step explanation:
base = circle..................base area = area of the circle = πr².
to get the radius of the circle, we substitute from the formula.
let π be 3.142
3.142 × r² = 50.24.............................. 3.142r² = 50.24
divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.
VOLUME = πr²h
= 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³
This is another way of doing it.
4
Select the correct answer.
Shania's test scores in 8 subjects were 88, 91, 85, 74, 69, 72, 80, and 87. Shanla found the middle number of her scores. W
did she find?
O A.
a measure of center
OB.
a measure of variation
Ос.
a measure of neither variation nor center
OD.
a measure of both variation and center
Reset
Next
Answer:
A: Measure of center, also known as the Median.
If a quadrilateral has exactly one pair of congruent, opposite angles, then the quadrilateral is a ______
Help me pls TwT, I’m terrible at math
Answer:
The answer is 49
Step-by-step explanation:
Rate of change= (f(b)-f(a))/(b-a)
a = 3 and b = 5
Rate of change = (125-27)/(5-3)
= 49
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
8x−2=−11+7x +2
Please help me!!
Answer:
x=-7
Step-by-step explanation:
8x - 2 = -11 + 7x + 2
First, separate the terms: move x to one side
subtract 7x from both sides
8x -7x - 2 = -11 + 7x -7x + 2
x - 2 = -11 + 2
Now get x by itself by adding 2 to both sides
x - 2 +2 = -11 + 2 +2
x = -11 + 4
simplify
x = -7
you're welcome
What do the signs need to be to multiply to get a positive and add to get a negative ?
the terminal side on an angle in standard position is ____
a. drawn with one end at the origin and the other at some angle to the initial side
b. connected to both ends of the initial side
c. always to the left of the initial side
d. rotated clockwise from the initial side as the angle increased
4
a) There are 360 students in a school and 120 of them are girls.
(i) Find the ratio of the girls and the total number of students.
(ii) Find the ratio of the boys and the total number of students.
(iii) Find the ratio of the girls and boys.
b) An alloy contains 120 g of copper and 150 g of zinc.
(i) Find the ratio of copper and zinc in the alloy.
(ii) Find the ratio of copper and the total weight of alloy.
(iii) Find the ratio of zinc and the total weight of alloy.
:) A ratio is equal to 3 : 8. If the antecedent is 21, find the consequent.
) The consequent of a ratio is 36. If the ratio is 4 : 9, find its antecedent.
) The ratio of two numbers is 7:2. If the greater number is 28, find the smalle
one.
Answer:
happy to help.........................................
f(x)=2^x is the function to calculate the number of sections there will be when a paper is folded x times. What is the average rate of change in the number of sections based on the number of folds in the interval [3,6]?
PLEASE READ THIS EXPLANATION: It is an EXTREMELY foundational concept in algebra that must be understood. Ask questions in the comments if you do not understand anything because I love helping others learn! Do not be shy. :)
Alright, so let's just understand the problem. The interval [3,6] means that the smallest x-value is x=3 and the largest x-value is x=6, and they both INCLUDE x=3 and x=6 (It would exclude x=3 and x=6 if it was like interval (3,6) with parentheses). Since f(x) is an exponential function, the change per x is not consistent and its growth actually grows as it continues in the direction of infinity, so that is why the average rate of change is interesting and very much relies on what range there is. The average rate of change from x=3 to x=6 will be far smaller than the average rate of change farther down the road at x = 99999 and x = 100003.
So, how do we find the average rate of change? All you have to do is find the slope between two points. Simple as that.
So, how do we apply that here? Imagine a graph with two points, one point at x = 3 and one point at x = 6 and we do not know the y-value of either of these points. So, that's our first step!
We need to first find how much it grows at x=3 and x=6 separately to find the the y-value of these points. f(x) = 2^x for x = 3 means y = 8, and f(x) = 2^x for x = 6 means y = 64. We now have two points:
(3, 8) and (6, 64)
Now, all we have to do is find the slope between these lines. All we have to do is use the normal formula for finding slope:
(y₂ - y₁) / (x₂ - x₁) OR (y₁ - y₂) / (x₁ - x₂)
Most people use the first one, but they give you the exact same answer, so don't ever think it's impossible to use the second one. Let's just use the first formula anyway.
(3, 8) = (x₁, y₁)
(6, 64) = (x₂, y₂)
Now, let's use the formula (remember you can use either one because it won't affect your answer):
(y₂ - y₁) / (x₂ - x₁) = (64 - 8) / (6 - 3) = 56 / 3 = 18 and 2/3
So, the average rate of change is 18 and 2/3 or 18.666666667.
What are the opposites of 5, −3.4, 3.35, and 9 1 3 ? Enter the answers in respective order, each separated by comma.
Answer:
-5, +3.4, -3.35, and- 9 1 3
Step-by-step explanation:
To find the opposite of any number we multiply it with -1 or divide it with -1
The opposite of 5 is given by 5 (-1)= -5
The opposite of -3.4 is given by -3.4 (-1)= 3.4
The opposite of 3.35 is given by 3.35 (-1)= -3.35
The opposite of 913 is given by 913 (-1)= -913
This property is called the additive inverse. The additive inverse is that property which on addition of the numbers gives the answer = zero.
5-5= 0
-3.4+3.4= 0
3.35-3.35=0
913-913=0
Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
