Answer:
22.976
Step-by-step explanation:
Thats your answer.
What is the simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years
Step-by-step explanation:
SI=prt
p=1000
r=0.05
t=2
SI=1000×0.05×2
SI=100
The simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years is $100.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Given;
principle= $1000
rate= 5%
time= 2years
Substitute the given values in the formula;
Simple Interest =(1000×5×2)/100
= 10000/100
Simple Interest will be $100
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The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.
t(c)=-3,970(ln c)
Use function t to complete the statements.
A fossil with 47% of its carbon-14 remaining is approximately ___ years old.
A fossil that is 7,000 years old will have approximately ___ of its carbon-14 remaining.
Applying the logarithmic function, it is found that:
A fossil with 47% of its carbon-14 remaining is approximately 2997 years old.A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.The age of a fossil with a proportion c of carbon 14 remaining is given by:
[tex]t(c) = -3970\ln{c}[/tex]
If the fossil has 47% of carbon-14 remaining, we have that [tex]c = 0.47[/tex], and thus:
[tex]t(0.47) = -3970\ln{0.47} = 2997[/tex]
For a fossil that is 7000 years old, we have that [tex]t(c) = 7000[/tex], and hence:
[tex]t(c) = -3970\ln{c}[/tex]
[tex]\ln{c} = -\frac{3970}{7000}[/tex]
[tex]e^{\ln{c}} = e^{-\frac{3970}{7000}}[/tex]
[tex]c = 0.5671[/tex]
A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.
A similar problem is given at https://brainly.com/question/23120675
Answer:2998 Years
17% of carbon
Step-by-step explanation:
edmentum and plato friendly double checked with multiple sources
Salve this proportion 15/35=g/7
A rectangular rug has an area of 38.5 square feet. If the rug is 5 feet wide, what is the length of the rug?
Answer:
7.7 square feet
Step-by-step explanation:
38.5 divided by 5, equals 7.7.
Hope this helps
Answer:
10
Step-by-step explanation:
80 = l(l - 2) = l2 - 2l. Solve the quadratic to find solutions l = 10 and l = -8. You can't have a negative side, so the length of the rectangle must be 10.
What are at least two similarities between inequalities and equations?
Answer:
both are mathematical sentances, what you do to one side you must do to the other, goal is to isolate variable
Step-by-step explanation:
Please help! :) (Whoever answers first I'll give Brainlest!)
Answer:
The answer is [10+(9x3]+4 and 5x4+(7x3).
Step-by-step explanation:
I can't really explain, but if you add 10+4, it'll be 14.
If you multiply 9x3, it'll be 27.
So, if you add 27+14, it will be 41.
For the second answer:
If you also multiply 7x3, it'll be 21. If you ALSO multiply 5x4, its 20. So if you add 20+21, it will equal 41.
Help pls it’s really hard
Answer:
1 acute and 2 right (the last option)
Will give brainlest!!
Answer:
B: About 5 days
Step-by-step explanation:
1990/400=4.975
Answer:
B. about 5 days
Step-by-step explanation:
All you have to do is 1990 divided by 400 and get 4.975 which can be rounded to 5.
22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?
Answer:
4
Step-by-step explanation:
45+65=110
110x4=440
Which of the following is not one of the ways to represent a function?
A) Words
B) Tables
C) Domains
D) Graphs
Thank you! :D
Words, or option A.
i hope this helps (:
Answer:
It's C - Domains
Step-by-step explanation:
solve the equation for y-value and choose whether it is a direct variation or inverse variation.
xy=7
a) y=7/x direct variation
b) y=x/7 direct variation
c) y=x/7 inverse variation
d) y=7/x inverse variation
Given:
The equation is [tex]xy=7[/tex].
To find:
Whether the given equation is a direct variation or inverse variable.
Solution:
Direct variation: y is directly proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
Inverse variation: y is inversely proportional to x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex]
Where, k is the constant of proportionality.
We have,
[tex]xy=7[/tex]
Divide both sides by x.
[tex]y=\dfrac{7}{x}[/tex]
It is in the form of inverse variation.
Since [tex]y=\dfrac{7}{x}[/tex] and it is inverse variation, therefore the correct option is (d).
What is the slope of the linear function
graphed below?
Answer: C
Step-by-step explanation:
1. If two polygons are SIMILAR, then the corresponding angles must be _____.
2. If two polygons are SIMILAR, then the corresponding sides must be _____.
3. The composition of two (or more) isometries is always ______
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?
Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3
Use slopes and y intercepts to determine if the lines 3x+3y=-1 and -x+4y-4 are parallel or not
Answer:
Since slopes are not same therefore lines are not parallel
Step-by-step explanation:
slope of 3x+3y=-1 is -1
slope of -x+4y-4=0 is 1/4
I really need help with this problem
can someone please help me in finding out if this is a function or not?
Answer:
yes, it is y=2
Step-by-step explanation:
Only need the 2nd part please
Answer:
6/11
Step-by-step explanation:
(36/121)^.5 = (36^.5)/(121^.5 )= 6/11
Kimberly buys a jar of fruit punch
mix. The jar holds 15 ounces of
powder. If she uses 1 ounce a day.
how long will the jar last?
Answer:
the jar will last for 15 days
A local animal rescue group received a number of $10 donations (D) for its annual drive. Suppose the total of the donations (T) reached $930. Which equations apply to this situation?
Answer:
&80/yt5
Step-by-step explanation:
E
combine like terms 5a -2b - 6 + 3a + 6b
Answer:
8a+4b-6
Step-by-step explanation:
Hope this helps you!!!!
Combine like terms 5a -2b - 6 + 3a + 6b
Answer:8a + 4b - 6
#CARRYONLEARNING #STUDYWELLCan someone help me?
Answer:
Step-by-step explanation:
Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.
the pair of figures are similar, find the missing side.
please help me, choose the right one
Which function is the inverse of f(x) = -5x -4?
Answer:
f^-1(x) = (x + 4) / -5
Step-by-step explanation:
f(x) = -5x - 4 Substitute f(x) with y
y = -5x - 4 Switch the x and y variables
x = -5y - 4 Solve it down
x + 4 = -5y
y = (x + 4)/ -5
f^-1(x) = (x + 4) / -5 <----- This is the answer
each juice bottle contains 8.6 fluid onces. how many fluid of juice are in a carton with 12 bottles
Answer:
12x8.6=103.2 fluid ounces
Step-by-step explanation:
Answer:
103.2 fluid
Step-by-step explanation:
Per - 8.6 fluid
So if 1 bottle ve 8.6 fluid we multiply by 12 to find out how much fluid there is in 12 bottles
8.6 * 12 = 103.2 fluid
Will was lowered in a cage 10 feet below the surface of the water. A Great White shark swam 24 feet below the surface of the water. What was the distance between Will and the shark?
Answer:
14 feet
Step-by-step explanation:
The sum of the lengths of the two bases of a trapezoid is 22 cm and its area is 66 cm2.
What is the height of the trapezoid
Answer:
h = 6 cm
Step-by-step explanation:
Given that,
The area of a trapezoid, A = 66 cm²
The sum of the lengths of the two bases of a trapezoid is 22 cm.
We need to find the height of the trapezoid.
The area of a trapezium is given by :
[tex]A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}[/tex]
Substitute the values,
[tex]h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm[/tex]
So, the height of the trapezoid 6 cm.
The diagram shows three straight lines.
с
110°
b
а
21
Work out the sizes of angles a, b and c.
b=
+
+
Answer:
a=21°b=70°c=89°
Step-by-step explanation:
a=21°[by vertical opposite angle]
b+110°=180°[by linear angle]
b=180°-110°=70°
a+b+c=180°[by sum of all angle]
21°+70°+c=180
91°+c=180°
c=180°- 91°
c=89°
To find the sizes of angles a, b, and c, we need to use the properties of straight lines and angles. Since angles on a straight line add up to 180 degrees, we have: Angle a = 21°, Angle b = 159°, Angle c = 159°
Angle b: We know that the sum of angles on a straight line is 180°. Angle b and angle a are on a straight line, so we can write the equation:
b + a = 180°
Given that angle a is 21°, we can now solve for angle b:
b + 21° = 180°
b = 180° - 21°
b = 159°
Angle c: Angles b and c are vertically opposite angles, which means they are equal in measure. So, we have:
c = 159°
Angle a: We already know the measure of angle a:
a = 21°
To know more about angles
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Use the diagram and the given information to find the given length
Answer:
Let x = BC
then by given condition
[tex]\frac{x}{12} = \frac{24}{18}\\x = \frac{12*24}{18}\\x = \frac{48}{3} = 16[/tex]
Evaluate (-3)(2)-7(-3)-10 in the correct order
Answer:
5
Step-by-step explanation:
(-3 * 2) - (7 * (-3)) - 10 | -6 - (- 21) -10 | -6 + 21-10 = 5.
