Answer:
First year's interest is already given.
There are 5 more payments of interest
= 5 * 0.07 * 950 = 332.5
so amount in the account after 6 years = 950 + 332.5 = 1282.5
Answer:
The answer is 1282.50
Step-by-step explanation:
1. A right triangle has legs that measure 5 meters and 12 meters. What is the length
of the hypotenuse?
A. 7 meters
B. 10.9 meters
C. 13 meters
D. 17 meters
What answer should I pick
Answer: C. 13 meters
Step-by-step explanation:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Hope it helps
Answer:
C. 13 meters
Step by step:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now. please could you help me with this as soon as possible.
Answer:
its 10 am I think
Step-by-step explanation:
it says 2 hours until midnight. 12 - 2 = 10
Answer:
its 10 am
Step-by-step explanation:
12 - 2 = 10
If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.
Answer:
The angle at vertex D is acute
Triangle DEF is a right triangle
Step-by-step explanation:
Acute means that the angle is smaller that 90degrees
Correct statement are,
The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Triangle DEF has a 90° angle at vertex E.
Since, In triangle DEF,
vertex E has 90 degree.
So, Possible value of angle E and F are less than 90 degree
Hence, The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
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I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
which is not an equation of the line going through (6 7) and (2 -1)
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just did it
At the beach, 20% of people have white towels and 58% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer: 22%
Step-by-step explanation: First, you have to add the percetages of the white and blue towels.
20+58=78
Now, you can simply subtract 78% from 100% to get your answer, 22%
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
Brainliest??? Which inequality is represented by this graph.
Answer:
Step-by-step explanation:
D is the answer
Please help!!!!! IMAGE ATTACHED
Answer:
1. y2-y1/x2-x2
2.y=mx+b
3.Ax+By=C
Step-by-step explanation:
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?
Answer:
The variance rounded to the nearest tenth is 691.8
Step-by-step explanation:
Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
No. of observations n = 11
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]
Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]
[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]
[tex]\sigma^2=\frac{7610}{11}[/tex]
[tex]\sigma^2=691.81[/tex]
Hence the variance rounded to the nearest tenth is 691.8
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick four different numbers from 1 to 51 and one number from 1 to 48. A player wins a minimum award of $ 400 by correctly matching two numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 48). What is the probability of winning the minimum award?
Answer:
0.00054
Step-by-step explanation:
Gold ball: we have one chance of choosing the correct ball from 1 to 48, so the probability is 1/48
White balls: we will pick 4 numbers from 1 to 51, so the total possibilities of groups of numbers we can choose is a combination of 51 choose 4:
C(51, 4) = 51! / (4! * 47!) = 51*50*49*48/(4*3*2)
If we want to correctly guess two numbers, we have groups of 2 winning numbers in the 4 numbers we guess, so a combination of 4 choose 2, and we also have to incorrectly guess the other 2 winning numbers in the 47 remaining numbers we didn't choose, so a combination of 47 choose 2:
C(4, 2) = 4! / (2! * 2!) = 4*3/2 = 6
C(47, 2) = 47! / (2! * 45!) = 47*46/2
The probability of the white balls case is the two combinations above over the total number of cases (the first combination we calculated):
P = C(4, 2) * C(47, 2) / C(51, 4)
P = (6 * 47 * 46/2) / (51 * 50 * 49 * 48/(4*3*2))
P = (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.026
Then the final probability is the probability in the gold ball case times the probability in the white balls case:
P = (1/48) * (3 * 47 * 46 * 4 * 3 * 2) / (51 * 50 * 49 * 48) = 0.00054
Peggy has four times as many quarters as nickels she had $2.10 in all how many nickels and how many quarters did she have
Answer:
There are 8 quarters and 2 nickels
Step-by-step explanation:
4 quarters for every 1 nickel
This means that for every 1 dollar, there are 5 cents
Double the statement above
1.05 x 2 = 2.10
There are 8 quarters and 2 nickels
What is the greastest number of acute angles that a triangle can contain?
Answer:
3 acute angles.
Step-by-step explanation:
Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.
An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.
Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me
Answer:
2 sqrt(5)
Step-by-step explanation:
To find the geometric mean to two numbers
sqrt( x*y)
sqrt( 5*4)
sqrt(5) * sqrt(4)
2 sqrt(5)
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two airplanes are separated by an angle of 58°. The large plane is 5.2km from the observation tower. a. Draw a diagram to represent this situation. b. How far is the small plane from the observation tower, to the nearest tenth of a kilometer?
Answer:
7.9km
Step-by-step explanation:
(a)See attached for the diagram representing this situation.
(b)
In Triangle ABC
[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]
Next, we determine the value of Angle B.
[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]
Finally, we find b.
[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]
The distance between the small plane and the observation tower is 7.9km.
The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial? It is not in standard form because the degree of the first term is not greater than six. It is not in standard form because the degree of the first term should be equal to zero. It is in standard form because the exponents are in order from highest to lowest. It is in standard form because the coefficients are in order from highest to lowest.
Answer:
A.) It is not in standard form because the degree of the first term is not greater than six.
Step-by-step explanation:
The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9
The multiplicative rate of change of the function is 2.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.
Given that the values of the variables x and y are,
x y
1 6
2 4
The rate of change will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = (4 - 6 ) / ( 2 - 1 )
Rate of change = -2
The multiplicative rate of change will be 2.
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Hi can anyone help me with this question
Answer:
12000 liters.
Step-by-step explanation:
The depth of the oil in the tank is 1.2 m.
The height of the oil is 1.2 m.
Length is 5 m and width is 2 m.
The volume of a rectangular prism is l×w×h.
5×2×1.2
= 12
The volume of the oil in the tank is 12 m³.
1 m³ = 1000 liters
12×1000 = 12000 liters.
The quantity of oil in the tank is 12000 liters.
Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.
Answer:
m = -5, 0
Step-by-step explanation:
Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.
binomial numbers, Stifel
Answer:
binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIEST IF CORRECT
what is 15x + 21x/2??
Answer:
25.5x
Step-by-step explanation:
Simply convert the fraction into a decimal and add.
21/2x = 10.5x
10.5x + 15x = 25.5x
If you want to keep it in fraction form, 15 is 30/2, so,
30x/2 + 21x/2 = 51x/2
Answer:
51x/2
Step-by-step explanation:
Add it like a normal fraction equation
Have them both with the same denominator of 2
30/2 + 21/2
Add the numerators
51/2
Now put the x into the numerator since it started as in the numerator
Answer: 51x/2
Hope this helps!
does anyone know how to solve
this problem? any help would be amazing please!!
Answer:
x = 60 and y = 100
Step-by-step explanation:
As shown in the table, you have: x + y = 160
Otherwise, you have x:y = 3:5 or x = 3y/5
=> 3y/5 + y = 160
or 8y/5 = 160
or y/5 = 20
or y = 20*5 = 100
=> x = 160 - y = 160 - 100 = 60
=> x = 60 and y = 100
7. Express as a fraction in simplest form: 4 to 36
Answer:
4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9
Answer:
1/9
Step-by-step explanation:
4:36 as a ratio can be written in the form of a fraction.
4/36
Simplify the fraction using the highest common factor.
4÷4/36÷4
1(4)/9(4)
The 4's cancel.
1/9
Which of the following is false about investing with borrowed money? (5 points)
Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one year, two years and three years?
Answer:
Step-by-step explanation:
After one year
A=p(1+r/n)^nt
=2000(1+0.03/12)^12*1
=2000(1+0.0025)^12
=2000(1.0025)^12
=2000(1.0304)
=$2060.8
After two-years
A=p(1+r/n)^nt
=2060.8(1+0.03/12)^12*2
=2060.8(1+0.0025)^24
=2060.8(1.0025)^24
=2060.8(1.0618)
=$2188.157
After three years
A=p(1+r/n)^nt
=2188.157(1+0.03/12)^12*3
=2188.157(1+0.0025)^36
=2188.157(1.0025)^36
=2188.157(1.0941)
=$2394.063
Amount in account after one year, two and three years are respectively $2,060 , $2,121.8 and $2,185.45
Given:
Principal amount = $2,000
Rate of interest = 3% = 0.03
Amount in account after one year
A = P(1+r)ⁿ
A = 2,000(1+0.03)¹
A = 2,000(1.03)¹
A = 2,000(1.03)
A = $2,060
Amount in account after two year
A = P(1+r)ⁿ
A = 2,000(1+0.03)²
A = 2,000(1.03)²
A = 2,000(1.0609)
A = $2,121.8
Amount in account after three year
A = P(1+r)ⁿ
A = 2,000(1+0.03)³
A = 2,000(1.03)³
A = 2,000(1.092727)
A = $2,185.45
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Which expression is equivalent to the expression 4(6+y)+7?
0 24+ 4y
O 31+ 4y
o 31+By
O 24+ 7y
Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
Answer:
its B
Step-by-step explanation:
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9