There should not be a -5 outside of the parenthesis in the second line
Investing $1000, compounding the interest once in a year will yield a final Amount of $1,935.28.
Given data
Principal = $1000
Rate = 4.5%
Time = 15 years
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.045/1)^(1)(15)
A = 1,000.00(1 + 0.045)^(15)
A = $1,935.28
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 4.5% per year compounded 1 times per year over 15 years is $1,935.28.
Learn more about compound interest here:
brainly.com/question/24924853
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>
<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>
<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>
<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>
<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>
<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>
<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>
<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>
<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>
<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>
<span>Or, if you prefer, (3, 0), (-5, 0). </span>
yes the answer is on g00gle
Step-by-step explanation:
Answer:
9 basket balls, 15 foot balls
Step-by-step explanation:
Let x be the number of basket ball
y be the number of foot ball
1 basket ball = $22
so x basket ball = 22x
1 foot ball = $30
so y foot ball = 30y
Total cost = 648
The equation becomes 22x+ 30y = 648
Given : They bought 6 more footballs than basketballs.
foot ball (y) = 6 more basket balls(x)
so y = x + 6
we solve for x and y
Now we plug in x+6 for y in the equation 22x+ 30y = 648
22x+ 30(x+6) = 648
22x + 30x + 180 = 648
Subtract 180 on both sides
52x = 468
Divide both sides by 52
so x= 9
Number of basket ball x= 9
Number of foot ball y=x+6= 9+ 6 = 15
