Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
Answer:
17 and 53.
Step-by-step explanation:
Let the two unknown numbers be x and y respectively.
Translating the word problem into an algebraic expression, we have;
x + y = 70 ...... equation 1
x - y = 36 ...... equation 2
From equation 1;
x = 70 - y ...... equation 3
Substituting eqn 3 into eqn 2, we have;
70 - y - y = 36
70 - 2y = 36
70 - 36 = 2y
2y = 34
y = 17
Next, we find x;
x = 70 - y
x = 70 - 17
x = 53
About 400 zebras live at the game reserve.
The proportion would be
30/150 = 80/x
This is because 30 zebras are tagged out of 150 in one area. We know that they tagged 80 total zebras out of x total zebras.
To solve this, cross multiply:
x*30 = 150*80
30x = 12000
Divide both sides by 30:
30x/30 = 12000/30
x = 400
A sign has 64 rows<span> of </span>lights<span> with </span>128 lights<span> in </span>each row<span>. How </span>many lights<span> are on - 685853. ... on the </span>sign<span>? </span>Choose exactly two answers<span> that are </span>correct<span>. A. </span>multiplication B<span>. </span>division C<span>. </span>2 D<span>. </span>8,192<span>. 1 ... </span>128 light each<span>. (or </span>128 rows<span> with </span>64 light each<span>) so per </span>each row<span> there are </span>128<span> so </span>64<span>* </span>128<span>give the total </span>answer.<span>A </span>sign has 64 rows<span> of </span>lights<span> with </span>128 lights<span> in </span>each row<span>. How </span>many lights<span> are on - 685853. ... on the </span>sign<span>? </span>Choose exactly two answers<span> that are </span>correct<span>. A. </span>multiplication B<span>. </span>division C<span>. </span>2 D<span>. </span>8,192<span>. 1 ... </span>128 light each<span>. (or </span>128 rows<span> with </span>64 light each<span>) so per </span>each row<span> there are </span>128<span> so </span>64<span>* </span>128<span>give the total </span>answer<span>.</span>
