Elbert made 48% of the shots he took during the basketball game. If he attempted 25 shots, how many times did he score?
1 answer:
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I assume you are being asked to solve these equations. Since there wasn't an explanation as to how you are expected to solve them, I chose to demonstrate how to use a calculator matrix function. You can find matrix calculators online. My instructions are for a TI-84
Push the blue 2nd button then push x^-1 button (it says matrix above this button in blue)
Arrow over to edit to change the dimensions of the matrix and to put in your values. You have 3 equations (3 rows) and 4 terms (4 columns) so you put a 3x4 in for the dimension and the coefficients (see images).
You use the rref option in the math column in matrix to calculate the answer.
The numbers at the end are the solutions. x = -4, y = 2, z = -1
Push the blue 2nd button then push x^-1 button (it says matrix above this button in blue)
Arrow over to edit to change the dimensions of the matrix and to put in your values. You have 3 equations (3 rows) and 4 terms (4 columns) so you put a 3x4 in for the dimension and the coefficients (see images).
You use the rref option in the math column in matrix to calculate the answer.
The numbers at the end are the solutions. x = -4, y = 2, z = -1
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
Now divide both sides by 2
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
9514 1404 393
Answer:
a) $7715.10
b) $6022.02
c) 15263.10
Step-by-step explanation:
A calculator or spreadsheet can evaluate the formulas for you using the given parameters.
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal amount, r is the annual rate, n is the number of times interest is compounded per year, and t is the number of years.
The continuously compounded interest formula is ...
A = Pe^(rt) . . . . where P, r, t are defined as above
Often the function e^x is defined as the exp(x) function.
__
A calculator or spreadsheet can perform rounding for you, but we elected not to confuse the issue with that step. The calculator results below are rounded in the answer list above.
For part (a), we have ignored the fact that 7 years will have an additional week, since there are 1 or 2 extra days (beyond 52 weeks) in each year. Taking that into account adds a penny to the account balance.
The extra day in a leap year affects the account balance in the 8th significant figure. Our balance has only 6 significant figures, so we do not need to be concerned with the effect of a possible leap year in the 3-year period of part (b).
