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Gekata [30.6K]
2 years ago
12

Joseph invested $89,000 in an account paying an interest rate of 6.6% compounded quarterly. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $237,600?
Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

Step-by-step explanation:

Answer:15

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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
2 years ago
600,000 1/10 of what? Please help!!
igor_vitrenko [27]
600000 is 1/10 of "x", that means x = 10/10 or a whole, what is "x"?

\bf \begin{array}{ccll}&#10;amount&fraction\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;600000&\frac{1}{10}\\\\&#10;x&\frac{10}{10}&#10;\end{array}\implies \cfrac{600000}{x}=\cfrac{\frac{1}{10}}{\frac{10}{10}}\implies \cfrac{600000}{x}=\cfrac{1}{10}&#10;\\\\\\&#10;\cfrac{600000\cdot 10}{1}=x
8 0
3 years ago
What is a unit rate?a rate with one in the numerator a rate in which the numerator and the denominator are equal a rate with one
exis [7]
A rate in which the numerator and the denominator are equal to a rate of one 
5 0
3 years ago
Can someone help me find out what is 48y-24
Maksim231197 [3]

Answer: 24(2y−1)

Step-by-step explanation:

Factor 48y−24

48y−24

=24(2y−1)

Answer:

24(2y−1)

3 0
3 years ago
Read 2 more answers
Interest calculated on a balance every three months is said to be compounded quarterly.
Mariulka [41]

Answer:

True

Step-by-step explanation:

The year is typically divided into equal different lengths of time. There are, for example, quarters, which divide the year by 4, i. e., in 4 periods of 3 months each. Other example are semesters, in this case, the year is divided into 2 periods of 6 months each. Taking this into account, an interest calculated on a balance every three months is compounded quarterly.

3 0
2 years ago
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