Can someone help me with these four please
Answers
Answer:
7:59 8:101 9:106 10:94
Step-by-step explanation:
7:180-121=59
8:they are the same
9:they are the same
10:180-86=94
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Answers
Answer:
£130
Step-by-step explanation:
100%-15%=85%
110.5/85=1.3
1.3 is 1%
you need to find 100%, so:
1.3 x 100= 130
A.7 2/3 gallons
B.7 5/6 gallons
C.7 2/9 gallons
D.7 8/9 gallons
Answers
Answers
Perimeter of the figure PQR is 91.42 cm.
What is Perimeter?
Perimeter of a straight sided figures or objects is the total length of it's boundary
Given figure PQR consists of an equilateral triangle and a semicircle.
Length of side of an equilateral triangle = 20 cm
Perimeter of equilateral triangle = sum of the length of three sides
Perimeter = 3 × 20 = 60 cm
Now circumference of a circle = 2πr, where r is the radius.
Here there is a semicircle, which is the half of the circle.
Circumference of semicircle = 2πr / 2 = πr
Here Diameter = 20 cm
Radius = 20 / 2 = 10 cm
Perimeter of semicircle = 10π = 31.42 cm
Total perimeter = 60 cm + 31.42 cm = 91.42 cm
Hence the total perimeter is 91.42 cm.
Learn more about Perimeter here :
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Answers
Answer:
Option 4 is correct
Step-by-step explanation:
The complete question is as follows:
Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually, she:
1.Will have enough money
2.Will have exactly $16,000
3.Will have $18,000
4.Will have $16,126.80
5.None of these
Solution:-
- The plan is to buy a new Hummer that costs C = $28,000 in t = 5 years.
- She invests P = $12,000 now at an interest rate i = 6% compounded semi-annually.
- We will calculate the amount of money, (compound interest formula), that Gracie has at the end of 5 years:
A = P*( 1 + i )^n
- Where, A : Amount after n periods.
n : Compounding period in years.
- The compounding period (n) is denoted as the number of time the interest in compounded over the time period t. Since the interest is compounded semi-annually then the compounding period would be:
n = t* ( 2 periods / year )
n = 5*2 = 10 periods.
- Now use the above "compounded interest" formula for i to be distributed for the whole year i.e half of 6%:
A = (12,000)*( 1 + 6/200)^10
A = 12,000*(1.03)^10
A = $16126.99
Given that the estimated cost of the Hummer is $28,000, and that she invests $12,000 with a 6% rate compounded semiannually. Semiannually, that would be twice a year, so it is the rate every 6 months. Let's get the 6% of $12,000 and it would be $720. Therefore, she will pay a total of $13,440 in a year. Hope this answer helps.
f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)
f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)
f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)
Answers
Answer:
The expression for f(x) is:
f(x) = (x+5)(x+5)(x+5)(x+4)(x-2)(x-9)
Step-by-step explanation:
We know that for any polynomial equation with roots:
with multiplicity:
the equation for the polynomial is given by:
if the leading coefficient is negative we may take '-' sign in the starting of the expression.
Here we are given that :
f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3
Hence, f(x) is given by:
Hence, the expression for f(x) is:
So because of that, we can eliminate A and B.
Now we have "root –5 with multiplicity 3"
That's just product of three factors (x+5)
So D is wrong.
We are left with the only possible correct option C.