Answer:
interest: $60
Payment: $360
Step-by-step explanation:
I = Prt
Interest for four years = 300 * 0.05 * 4 = 60
P = P₁ + I = 300 + 60 = 360
Answer:
b) exponential growth
Step-by-step explanation:
The value of an investment of $3,500 over "t" years at 4.5% interest is represented by the expression
The general form of exponential expresion y = a.
If exponent "x" is positive, then it is exponential growth. If exponent "x" is negative, then it is exponential decay.
Our given expression is in the form of exponent. Here the exponent "t" represents the number of years. It must be positive.
Therefore, our given expression is b. exponential growth.
Hope you will understand the concept.
Thank you.
Correct histogram: top-right corner
Step-by-step explanation:
The picture is missing: find it in attachment.
A histogram is a type of plot representing data divided into classes. The classes can be represented using bars with same width: if so, the height of each bar is proportional to the number of data inside each class.
Here by looking at the table in the figure, we notice that:
- There are 3 data in the 800-899 class: 805, 805, 872
- There are 5 data in the 900-999 class: 910, 919, 923, 950, 989
- There are 8 data in the 1000-1099 class: 1004, 1010, 1020, 1051, 1056, 1085, 1094, 1098
- There are 6 data in the 1100-1199 class: 1108, 1128, 1133, 1150, 1150, 1187
- There 3 data in the 1200-1299 class: 1209, 1220, 1298
Therefore, the correct histogram representing the set of data is the histogram on the top-right corner, which has respectively columns of height 3, 5, 8, 6 and 3.
Learn more about histograms:
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Answer:
AB=6 and BC=12
Step-by-step explanation:
I'm doing the same thing in geometry. this is the equation to follow
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.