Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria
<u>Step-by-step explanation:</u>
Use the exponential growth formula y = a(b)ˣ where
- a = Initial Value
- b = 1 + r (for growth) or 1 - r for decay
- r = rate (convert percent to a decimal)
a) Given: a = 250, r = 80% (.80) → b = 1.8
y = 250(1.8)ˣ
b) Given: x = 10
y = 250(1.8)¹⁰
y = 89,261.68 = 89,262 (rounded to the nearest whole number)
Answer:
858 thousand pounds
Step-by-step explanation:
The first field has an area of 16 acres; the second has an area "1 1/4 times bigger".
Most people will interpret that incorrectly, saying the area of the second field is 16 time 1 1/4, which is 20. But the grammatically correct interpretation of "1 1/4 times bigger" is the size of the first field, plus 1 1/4 more times the size of the first field.
So the size of the second field in acres is 16+%2B+1.25%2A16+=+36
So the first field has an area of 16 acres and the second has an area of 36 acres.
The first field yields 37.5 thousand pounds of wheat per acre. The total amount of wheat from the first field is 16%2A37500+=+600000
The yield from the second filed is 1 2/15 times as much per acre as the first field. The yield in pounds per acre for the second field is 37500%2A%2817%2F15%29+=+40500.
So the total amount of wheat from the second field is 36%2A40500+=+1458000
The difference in the total yield from the two fields is 1458000-600000+=+858000
The second field yielded 858 thousand pounds more of wheat.
Answer:
The second option
Step-by-step explanation:
x+y=29
5x+2y=100
then y=29–x
since 5x+2y=100
then 5x+2(29–x)=100
then 5x+58–2x=100
then 3x+58=100
then 3x=100–58
then 3x=42
then x=42/3
then x=14
then y=29–14=15
Lets say that J is for Jennys messages, B is for Boris’ and E is for Erics (or Ericas?).
79 = J + B + E
J = E - 6
B = 3E
Since both Jenny’s and Boris’ number of text messages has some kind of relation to Eric’s number of messages, we can say that:
79 = E - 6 (Jenny) + 3E (Boris) + E (Eric), so:
79 = E - 6 + 3E + E /combine like terms
79 = 5E - 6 /add 6 to both sides
79 + 6 = 5E /switch sides + combine like terms
5E = 85 /divide both sides by 5
E = 85/5
E = 17
So, Eric sent 17 messages. Lets get back to those equations we made for Jenny and Boris:
J = E - 6 = 17 - 6 = 11
B = 3E = 3 * 17 = 51
And we can check if it adds up: 51 + 11 + 17 = 79, which is what we were supposed to get.
Answer:
12/37
Step-by-step explanation:
sin alpha = opposite side/ hypotenuse
sin alpha = 12/37
