Answer:
189
Step-by-step explanation:
Given data
Initial population=350
Rate = 6%
TIme= 10 years
Let us apply the compounding expression
A=P(1-r)^t----------The negative sign is due to decreasing value
substitute
A= 350(1-0.06)^10
A=350(0.94)^10
A=350*0.5386
A=188.51
Hence the approximate population will be 189
A model of a statue has a height of 4 cm. The volume of the model is 12 cm3 . 3 The volume of the statue is 40 500 cm
Answer:Pencil, pen, ruler, protractor, pair of compasses and eraser ... Work out the volume of prism B. me x3' (X27). 15X27 = 405. 405 ..cm3 ... 3. Below are two similar parallelograms. X1.5. 4cm / A /. 6cm. B. The area of ... bon Area: 120 cm? 3 ... Two clay models of the Statue of Liberty are mathematically similar.
Step-by-step explanation:
Sorry If It Dont Help But It Helped Meh...Come Back To Meh If Its Wrong♀️....
5
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is
126 square feet. Find the width of the rectangle. (Do not type units in the answer)
Answer:
Step-by-step explanation:
Sloths climb through the canopy while hanging upside down. If it takes a sloth 10 minutes to climb 7.5 feet, what's its climbing speed in miles per hour?
Answer:
0.00852 miles per hour
Step-by-step explanation:
Given that:
Distance = 7.5 feets
Time taken = 10 minutes
Speed = distance / time taken
Speed = 7. 5 feets / 10 minutes = 0.75 feets / minutes
Converting to miles per hour :
0.75 feets / minute :
1 mile = 5280 feets
1 minute = 1/60 = 0.0166666 hour
0.75 feets / minute = (0.75/5280)mile / 0.0166666
= 0.0001420 / 0.0166666 mile per hour
= 0.0085200 miles per hour
= 0.00852 miles per hour
Explain why cos E
-
СВ/AB
Answer:
Note that the three identities above all involve squaring and the number 1.You can see the Pythagorean-Theorom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin(t) = y, the "adjacent" side is cos(t) = x, and the hypotenuse is 1.. We have additional identities related to the functional status of the trig ratios:
Step-by-step explanation:
Stephanie wants to make 22.5 qt. of a 20%
alcohol solution by mixing together a 6%
alcohol solution and a 36% alcohol solution.
How much of each solution must she use?
Answer:
y = 10.5qt
x = 12 qt
Step-by-step explanation:
0.6x+ 0.36y = 22.5 * 0.2
0.06x + 0.36y = 4.5
x + y = 22.5
x = 22.5 - y
0.06(22.5 - y) + 0.36y = 4.5
1.35 - 0.06y + 0.36y = 4.5
0.3y = 4.5 - 1.35
0.3y = 3.15
y = 3.15 / 0.3
y = 10.5 qt
x = 22.5 - y
x = 22.5 - 10.5
x = 12 qt
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees dose he have?
Answer:
Step-by-step explanation:
t(35/100)=42
35t=4200
t=120
So there is a total of 120 fruit trees.
Answer:
Its 35.72
Step-by-step explination
couldn't insert a photo sorry, Iwas going to, but it wouldn't let me
P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?
Answer:
5
Step-by-step explanation:
Given the profit equation ;P(x)
x = number of units sold
P(x) = profit made
P(x) = 101
101 = 0.2x^2+20x-4
0.2x^2+20x-4 - 101
0.2x² + 20x - 105 = 0
Using the formula:
-b±[sqrt(b² - 4ac) / 2a]
Where ;
a = 0.2 ; b = 20, c = - 105
Using the quadratic equation solver to save time :
The roots are :
-105 and 5
Items sold cannot be negative ;
Hence, x = units sold = 5
A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for some distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the
HELP ASAP!! BEST ANSWER GETS BRAINLY! pls only answer if u know the answer this is a test!
Which answer is the slope-intercept form for the given equation? 1/3x+2y=4/3
y=2/3x+4/3
y=−1/6x+4/3
y=−2/3x+2/3
y=−1/6x+2/3
Answer:
It's the fourth one y=-1/6x+2/3
Step-by-step explanation:
21) Two functions each have an initial value of 1. One function is linear and has a slope of 10
while the other function is exponential with a growth factor of 1.1.
A) At what x-value does the exponential function's output exceed the linear?
Answer:
A) x = 68.55
Step-by-step explanation:
The initial value of a function can be the value of the function when x = 0.
So we have a linear equation:
f(x) = a*x + b
with a slope of 10, then:
f(x) = 10*x + b
and we know that:
f(0) = 1 = 10*0 + b
1 = b
Then the linear function is:
f(x) = 10*x + 1
And we have an exponential function g(x)
A general expoential function is written as:
A*(r)^x
where r is the growth factor, here we know that it is equal to 1.1
Then:
g(x) = A*(1.1)^x
And we know that:
g(0) = 1, then:
A*(1.1)^0 = A*1 = 1
Then A = 1
g(x) = (1.1)^x
So our two functions are:
f(x) = 10*x + 1
g(x) = (1.1)^x
We want to find the value of x such that the exponential function's output exceeds the linear one. This is kinda hard to do analytically, so we can do it graphically.
Below you can see the graphs of both functions, where we can see that for x = 68.55, the exponential function's output exceeds the one of the linear function.
If we want to find the point analytically, we need to solve:
10*x + 1 = (1.1)^x
Which is a transcendental equation, which means that can not be solved in close form. So usually we solve them graphically.
Here we can also check that for the found value:
g(68.55) = (1.1)^68.55 = 687
f(68.55) = 10*68.55 + 1 = 685.6
So this is not the exact value at which g(x) overcomes f(x), but is a good approximation.
Someone please answer this! THANKSSSS
Answer:
in right angled triangle MNO
relationship between base and hypotenuse is given by cos angle
cosx°=b/h
cosx°=OM/MN
x°=cos-1(26/99)=74.77=74.8°
Answer:
∠ M ≈ 74.8°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos M = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{MN}[/tex] = [tex]\frac{26}{99}[/tex] , then
∠ M = [tex]cos^{-1}[/tex] ([tex]\frac{26}{99}[/tex] ) ≈ 74.8° ( to the nearest tenth )
Carol ate 25% of the candies in the bag. If Carol ate 24 candies, how many candies were there total in the bag?
Answer:
6
Step-by-step explanation:
100/4 = 25%
24/4 = 6
Find the solutions to the equation x2 - 15x - 100 = 0.
Answer:
X= 20 or -5
Step-by-step explanation:
find the solutions for w
what is the area to this triangle
Answer:
12 x 12 = 144 divided by 2 = 72, 72 is your answer formula of a triangle: BH x 1/2
Step-by-step explanation:
72 square cm
im stuck on this question
Answer: f
Step-by-step explanation: I chose f because m=29.57 which is is the starting point
What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)
Answer:
Step-by-step explanation:
If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is
y=ar^x we have a=25 and r=2 so
y=25(2^x)
Part 1: What is the rate of rice to quarts of water for this recipe that uses 4 pounds of rice and 5 quarts of boiling water?
Given:
A recipe uses 4 pounds of rice and 5 quarts of boiling water.
To find:
The rate of rice to quarts of water for this recipe.
Solution:
We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.
[tex]\text{Required rate}=\dfrac{\text{Rice in pounds}}{\text{Water in quarts}}[/tex]
[tex]\text{Required rate}=\dfrac{4}{5}[/tex]
[tex]\text{Required rate}=0.8[/tex]
Therefore, the rate of rice to quarts of water for this recipe is 0.8.
which is a rational number
a) 1.4142135623
b) 3.6256256
c) 2 (pie)
d) squared 5
Answer:
Rational numbers can be expressed as a fraction
Squared 5 = 25
25 can be expressed as a fraction- 25/1, so d is correct.
Let me know if this helps!
5 squared is right im sorry i miss read it
what is pi and how invented it??
Answer:
Step-by-step explanation:
The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Answer:
π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.
The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.
I NEED HHELLLPPPPPPPPPPPPPPPPPPPPP
Answer:
10.6
Step-by-step explanation:
Answer:
x = 122°
Step-by-step explanation:
since it is a right triangle, the sum of the other 2 interior angles = 90°
the angle opposite x = 90° - 32° = 58°
58° and angle x are supplementary angles. Their sum is 180°.
180° - 58° = 122°
INSTRUCTIONS: Calculate the Mean, Median, Mode, and Range from the data set (February 14-28, 2021).
10.9, 10.4, 9, 5.7, 7.8, 9.3, 2.2, 11, 9.6, 4.8, 7.4, 8.4, 7.7, 10.8, 7.7, 10.8, 13.7 (PLS HELP)
Answer:
The mean is 128.7
There is no mode
The median is 9
The range is 11.5
Step-by-step explanation:
Pease help Marking Brainiest
Answer:
150 miles
Step-by-step explanation:
x = 30y
5 inches x 30 = 150 miles
the table shows the results of a class survey About pets. suppose 53 students were surveyed. about how many students have one pet? Justify your answer.
Answer:
26.5
Step-by-step explanation:
The table shows that 1/2 of all the students surveyed have one pet.
[tex]53 \times \frac{1}{2} = 26.5[/tex]
What is the area of the rectangle, in square feet?
A rectangle with length 20 feet and width 9 feet.
29
58
120
180
What’s n=
In this problem
Answer:
90
Step-by-step explanation:
I'm not sure It looks like it would be a 90 degree angle. Plz let me know im really sorry if its wrong.
To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate?
Answer:
18
Step-by-step explanation:
Help pls!!! question in the picture!!!
Answer:
The Y intercept is two
Step-by-step explanation:
The y intercept is the point on a graph where the graph crosses the y axis.
Basically, it is the value of y when x is 0 is (x,y)
Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.
The answer is: the Y-INTERCEPT is 2
Surface area
Please help!!
Math, surface area
Answer:Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. ... We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
https://youtu.be/sskf3tF2heU?t=8